Fruntum A bucket is 20cm in diameter at the open end,12cm in diameter at the bottom,and 16cm deep. To what depth would the bucket fill a cylindrical tin 28cm in diameter?

Answers

Answer 1

Answer:

The depth is 5.33cm

Step-by-step explanation:

Given

[tex]D =20cm[/tex] --- diameter at open end

[tex]d = 12cm[/tex] --- diameter at bottom

[tex]H=16cm[/tex] -- depth

[tex]d_c = 28cm[/tex] --- diameter of the cylinder

Required

The depth the bucket will fill the cylinder

First, calculate the radii at the ends of the bucket

[tex]R=D/2 =20cm/2 = 10cm[/tex]

[tex]r=d/2 =12cm/2 = 6cm[/tex]

The volume of the bucket (frustum) is:

[tex]V = \frac{1}{3} \pi H(R^2 + Rr + r^2)[/tex]

[tex]V = \frac{1}{3} *\pi * 16 * (10^2 + 10*6 + 6^2)[/tex]

[tex]V = \frac{1}{3} *\pi * 16 * 196[/tex]

[tex]V = 1045.33\pi cm^3[/tex]

The volume of a cylinder is:

[tex]V = \pi r_c^2h_c[/tex]

Where:

[tex]r_c = d_c/2 = 28cm/2 =14cm[/tex]

So, we have:

[tex]1045.33\pi = \pi * 14^2 * h_c[/tex]

[tex]1045.33\pi = \pi * 196 * h_c[/tex]

[tex]1045.33\pi = 196\pi * h_c[/tex]

Make h the subject

[tex]h_c = \frac{1045.33\pi}{ 196\pi}[/tex]

[tex]h_c = \frac{1045.33}{ 196}[/tex]

[tex]h_c = 5.33[/tex]


Related Questions

|48+(-6)|+|-35+7|

Please help me with this! Thank you!

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{|48 - 6| + |- 35 + 7|}[/tex]

[tex]\mathsf{|48 - 6| = \boxed{\bf 42}}[/tex]

[tex]\mathsf{= 42 +| -35 + 7|}[/tex]

[tex]\mathsf{|-35 + 7| = \boxed{\bf -28}}[/tex]

[tex]\mathsf{= 42 + |- 28|}[/tex]

[tex]\mathsf{= 42 + 28}[/tex]

[tex]\boxed{\mathsf{= \bf 70}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 70}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

In the figure, angle E measures 30°, angle F measures 57°, and angle B measures 27°. What is the measurement of angle A?

A.
27°
B.
66°
C.
87°
D.
93°

Answers

Answer:

66°{B}

Step-by-step explanation:

30°+57°+27°+x=180°

114°+x=180

x=180°-144°

66°

Answer:

I hope this helps

Step-by-step explanation:

For the dinner special at a restaurant, the customer must choose an appetizer, an entree, a side dish, and a dessert.
Here are the items to choose from.
Choice
Possible items
Appetizer
Shrimp cocktail, Onion rings, Buffalo wings
Entree
Grilled chicken, Lamb, Roast turkey, Salmon
Side dish
French fries, Baked potato, Mixed vegetables, Rice, Pinto beans
Dessert
Brownies, Ice cream, Cheesecake, Apple pie
How many dinner specials are possible?

Answers

Answer:

A

Step-by-step explanation:

Answer:

320

Step-by-step explanation:

Use the properties of logs to determine how many more times severe was the San Francisco earthquake? The severity is equal to the ratio below:

Answers

Answer:

The answer is "158.489"

Step-by-step explanation:

for san francisco earthquake:

[tex]\log(\frac{a_1}{T}) + B = 7.8\\\\\log(\frac{a_1}{T})+\log(10^{B}) = 7.8\\\\\log(\frac{a_1}{T} \times 10^{B})=7.8\\\\(\frac{a_1}{T} \times 10^B=10^{7.8}...............(i)[/tex]

similarly , for coloumbia earthquake:

[tex]\frac{a_2}{T}\times 10^B = 10^{5.6}.................(ii)[/tex]

divide equation (i) and (ii):

[tex]\frac{a_1}{a_2}=\frac{10^{7.8}}{10^{5.6}}\\\\\frac{a_1}{a_2}=10^{2.2}\approx 158.489[/tex]

What is the area of the square,in square units?
3/4 unit

Answers

Answer:

9/16

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

A = (3/4)^2

A = 9/16

A guitar factory has a cost of production C(x) = 100x + 56000 , where is the number of guitars produced . If the company needs to break even after 150 units sold, at what price should they sell each guitar ? Use the variable p to represent the price Round up to the nearest dollar .

Answers

Answer:

Step-by-step explanation:

If the company wants to just break even, that means that the cost to produce 150 guitars is equal to the price they charge to make a 0 profit. The cost of 150 guitars is

C(150) = 100(150) + 56000 and

C(150) = 71000. That's how much it costs to produce 150 guitars. If they want to make nothing at all, they have to sell the 150 guitars for

p(x) = 71000/150 so

p(x) = 473.33 or 474

Answer:

473.33 units

Step-by-step explanation:

The breakeven point is the level of production at which the costs of production equal the revenues for a product. So, considering P the price of a guitar unit, we have that:

C(150) = 150.P

P = C(150)/150

P = (100.150 + 56000) / 150

P = (15000 + 56000) / 150

P = 71000/150

P ~ 473.33 units of currency per guitar

An isosceles triangle has a base of 20cm. The vertex angle is 80?. Find the length of each of the two equal sides of the triangle​

Answers

1234567891011234567890

how would i solve this with a graph AND A FUNCTION TABLE?!?!?!?!?

y=-1/4x - 3

Answers

Answer: Slope= (-0.25), y-int= -3

Explanation: The standard form for an equation of a line is y=mx+b where the “m” stands for the slope and the “b” stands for the y-intercept.

Very easy question I will mark you brainliest
1. Is 29 monomial or not monomial ?
Yes or No
2. 5x^7 monomial or not monomial
yes or no

Answers

Answer:

1. Yes

2. Yes

Step-by-step explanation:

A monomial is an algebraic expression consisting of one term. So, 29 is a monomial.

[tex]5x^{7}[/tex] has only one term. So, [tex]5x^{7}[/tex] is a monomial.

Find F(-5) if f(x)=6

Answers

Answer:

on seconded I will come back and edit my answer

Multiply the binomials: (8a - 3b) (3a - 8b)

Answers

Answer:

24a²-73ab+24b²

Step-by-step explanation:

(8a - 3b) (3a - 8b) =

24a²-64ab-9ab+24b²

= 24a²-73ab+24b²

Which is NOT a proposition
A. Marlon is eating his lunch
B. Will you be at school tomorrow.
C. The earth is rectangular
D. 10 + 5 = 15

Answers

Answer:the answer is b

Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped

PLEASE HELP DUE TONIGHT (W/ WORK IF POSSIBLE) THANK YOU

Answers

The answer is c because I did it and got it right

Which expression represents the algebraic phrase “nine times a number plus thirteen”?
9 minus y + 13
9 + y minus 13
9y + 13
13y + 9

Answers

Answer:

ok so its 9 times a number plus 13 this is shown as c

9y+13

Answer:

ok so its 9 times a number plus 13 this is shown as c

9y+13

Step-by-step explanation:

Which of the following steps were applied to ABCD to obtain A'B'C'D'?


PLZZZZ HELP

Answers

Answer:

D

Step-by-step explanation:

Since all the points were shifted the same way, I'll just use point A and point A'.

Point A starts at (3,5) and A' is at (5,2)

If the subract the x coordinates: 5-3=2

Then subtract the y coordinates: 2-5=-3

The 2 is positive, so it is 2 units to the right (the positive x direction) and -3 is negative so 3 units down (negative y direction)


[tex]\huge\mathfrak\green{please \: help...} \\ \\ \huge\mathfrak\red{5 {}^{2} + 6 {}^{2} = {?} ...}[/tex]

Answers

61 is a required answer.

Answer:

[tex]\boxed{5²+6²=5*5+6*6=25+36=61}[/tex]

Total area of composite figure

Answers

Answer:

Hello! answer: 99 units2

Step-by-step explanation:

9 × 6 = 54 9 × 10 = 90 90 ÷ 2 = 45

54 + 45 = 99 therefore the area is 99 units2 hope that helps!

Help plz..And No links!! I repeat No links!!

Answers

Answer:54 is the54 d

Step-by-step explanation:

no sorry

Select the correct answer from each drop-down menu.
Complete the number sentence to represent finding the fair share of goldfish in each bowl.

Answers

Answer:

30/5=6

Step-by-step explanation:

There’s 30 fish put into five bowls, and there’s six fish in each

What is the volume of the rectangular prism below

Answers

Answer:

D. 501,120mm^3

Step-by-step explanation:

Volume of a rectangle:

length x width x height

So, plug in what you know:

80*104.4*60=

501,120mm^3

The toy store had 20 boxes of dolls and 25 boxes of teddy bears. Each box holds 24 of each. How many dolls and teddy bears did the toy store have in all?

Answers

Answer:

1080

Step-by-step explanation:

               Boxes.             # per box.           Total

dolls.         20.                     24.                     480

bears.        25.                     24.                     600

total.          45.                     24.                   1080

Steps:
20^24=480
24^25=600
600+480=1080

The answer is 1080!
If helped mark me the brainiest!!

What is point b on the coordinate plane?

Answers

Answer:

its (1,-3) if you got it wrong just let me know :3

Aline having a slope of 3/4 passes through the point (-8,4) What would the
equation look like before you solve it, if you were plugging these numbers into the
slope-intercept equation (y=mx+b)?
HELP ME

Answers

Answer:

y=3/4x + 10

Step-by-step explanation:

First, lets put this into Point-Slope form: y-4 = 3/4(x+8)

Now, lets modify the equation in our favor, getting the "y" alone on the left hand side:  y-4 = 3/4(x+8)

                     +4                   +4

-----------------------------------------------

                  y=3/4(x+8)+4

Now, lets simplify....

                  y=3/4x + 6 + 4 = y = 3/4x+10

And we are done!

Which value for the constant d makes x=-1 an extraneous solution in the following equation? square 8-x = 2x + d. PLEASE

Answers

The value for the constant, d which makes x= -1 an extraneous solution is; d=5.

Which value for the constant d makes x=-1 an extraneous solution in the equation?

The constant d as given in the task content can be evaluated as follows where, x =-1;

√(8+1) + = 2(-1) +d

√9 = -2 +d

3 = -2 +d.

d = 5.

Read more on equations;

https://brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

Please help me find all the answers.

Answers

Answer:

g = 10

Step-by-step explanation:

First, let's find the missing value of the 'C'

180 - 110 = 70 degrees

Now that we have the answer for one side, we can make an equation:

2g + 9g + 70 = 180 (area of a triangle is 180 degrees)

11g + 70 = 180

11g = 180 - 70

11g = 110

g = 110 / 11

g = 10

The value of g is 10 so we can now add them to the expression:

2g = 2(10) = 20

9g = 9(10) = 90

To make sure that you have the correct answer, add the values so that you get an answer as 180:

70 + 20 + 90 = 180

hope this helps....

From the given figure, We can notice that :

∠BCA + 110° = 180°      (Because they make a Linear Pair)

⇒  ∠BCA = 180° - 110°

⇒  ∠BCA = 70°

We know that : Sum of the Angles in a Triangle should be equal to 180°

⇒  2g° + 9g° + ∠BCA = 180°

⇒  11g° + 70° = 180°

⇒  11g° = 180° - 70°

⇒  11g° = 110°

⇒  g° = 10°

⇒  9g° = (9 × 10) = 90°

⇒  2g° = (2 × 10) = 20°

Find the next two terms of each sequence.

1.) -16, 8, -4, 2, ...

2.) 1, 4, 9, 16, 25, ...​

Answers

Answer:

1)=-1;1

2)=36;49

Step-by-step explanation:

1.)aqui la secuncia es dividir en -2

2.)aqui la secuencia es sumar numeros impares es decir:+3;+5;+7 etc

Help plz..And No links!! I repeat No links!!

Answers

Step-by-step explanation:

Apply foil method.

First,

[tex]4z \times z = 4 {z}^{2} [/tex]

Outer,

[tex]z \times - 1 = - z[/tex]

Inner,

[tex]4z \times 1 = 4z[/tex]

Last,

[tex]1 \times - 1 = - 1[/tex]

Add terms.

[tex]4 {z }^{2} + 3z - 1[/tex]

Measurement questions please help

Answers

Answer:

There are 16 marks per inch. This means that each mark is equal to 1/16th of an inch. Knowing this, we can just count backward from the 3 inch mark from 16 to get the fraction, then just add two.

2.8125

Step-by-step explanation:

use thing below to get answers or count them

Help please I need help

find X

Answers

Answer:

[tex]x = 145[/tex]

Step-by-step explanation:

1.Approach

To find the value of (x), one will have to take multiple steps. Since a straight line is (180) degrees, one can use this property. Subtract the measure of the exterior angle (the angle formed between the extension of the side of a triangle, and the side of a triangle) from (180) to find an expression to describe the measure of the angle inside the triangle.

Then one is given a regular octagon, using the sum of interior angles formula, find the measure of any interior angle. The vertical angles that when two lines intersect, the opposite angles are congruent. One can use this property to find the final unknown angle in the triangle.

It is known that the sum of angles in a triangle is (180). Use this to find the measure of (x).

2. Find the measure of two angles in the triangle

The degree measure of a straight angle is (180), therefore, when two angles form a straight line, their sum of (180). One can apply this here by stating,

[tex]x+(unknown)=180[/tex]

Solve for unknown,

[tex]unknown = 180 - x[/tex]

One can also state,

[tex]170+(unknown_2)=180[/tex]

Solve for the unknown,

[tex]unknown_2=10[/tex]

3.Find the degree measure of one of the angles in the octagon

The given octagon (eight-sided figure) is a regular octagon. By its definition, all of the sides in any regular polygon are congruent. This is indicated here, thus the octagon is a regular octagon. One property of a regular polygon is that all of the angles in the figure are cognrunet. This means that the sum of interior angles divided by the number of angles wil give one the measurement of each angle.

The formula to find the sum of interior angles in a polygon is as follows,

[tex]S=180(n-2)[/tex]

Where (n) is the number of sides. Since an octagon has (8) sides substitute this number into the formula and solve for the sum of angles,

[tex]S=180(n-2)\\\\S=180(8-2)[/tex]

Simplify,

[tex]S=180(8-2)\\\\S=180(6)\\\\S= 1080[/tex]

Now divide by the number of angles. The number of angles in an octagon is (8). Since this is a regular octagon, all of the angles are congruent, thus dividing the sum of angles by the number of angles will give on the measure of each angle.

[tex]1080[/tex] ÷ [tex]8 = 135[/tex]

4. Find the measure of the final angle in the triangle

The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. Therefore, the final unknown angle in this triangle is equal to (135) degrees, because the angle opposite in the octagon is equal to (135) degrees.

5. Find the meausre of (x)

The sum of angles in any triangle is (180) degrees. Since one has found the measure or expression of the angle measure of each angle in a triangle, one can form an equation and solve for the unknown,

[tex](180-x)+(10)+(135)=180[/tex]

Simplify,

[tex]325-x=180[/tex]

Inverse operations,

[tex]325-x=180\\\\-x = -145\\\\x=145[/tex]

Which is the graph of f(x) = 4[1/2]x ?

Answers

Step-by-step explanation:

answer is in picture see

hope it helpful

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