A giant scoop, operated by a crane, is in the shape of a hemisphere of radius 24 inches. The scoop is filled with molten steel. The steel is then poured into a cylindrical storage tank with diameter 32 inches. How high will the molten steel rise?

Answers

Answer 1

Answer:

40 inches

Step-by-step explanation:

Volume, V of hemisphere = 2/3 π r^3

Radius, r = 24 inches ;

V = 2/3 π 24^3

V = 28952.917 in³

Volume of cylinder = π r^2 * h

h = height ; r = Radius = 32 /2 = 16 inches

Volume of hemisphere = volume of cylindrical tank

28952.917 = π (16)^2 * h

28952.917 = 804.24771h

h = 28952.917 / 804.24771

h = 35.9999

h = 40 inches

Molten stell rise is 40 inches


Related Questions

Marcus wants to earn an "A" in math for the 4th quarter. His teacher is averaging 4 test grades. His grades on the first three tests are 85, 95, and 88. What grade does he need to earn on his 4th test to end up with an average of 90?

Answers

Answer:

87

Step-by-step explanation:

92

85+95+88+92 = 360
360/4 = 90

please help asap for the area. i got homework to submit in 5 minutes

Answers

Answer:

area = 228 m^2

Step-by-step explanation:

here's your solution

=> length = 20 m. , width = 12 m

=> Area of rectangle = length*width

=> Area of rectangle = 12*20

=> Area of rectangle = 240 m^2

now we need to find area of traingle

=> base = 4 m. , height = 6 m

=> area of traingle = 1/2*base*height

=> area of traingle = 1/2*4*6

=> area of traingle = 12 m^2

=> now , area of figure = 240 m^2 - 12 m^2

=> 228 m^2

hope it helps

Answer:

p= 66.32 m

a= 228 m squared

Step-by-step explanation:

. Which calculation best matches the expression 3+2?

Answers

Answer:

3+2=5

Step-by-step explanation:

Answer:

3+1+1

Step-by-step explanation:

3+1+1=5, and 1+1=2, and 3+2=5.

answer all questions 9-13!!!!​

Answers

Answer:

9)  3.7 in

10) 12 in²

11) 18 in³

12) V=432π cm³

   TSA= 216π cm²

13)V=448π ft³

   TSA=240π ft²

Step-by-step explanation:

9) Since all side of the trapezium are the same the height = perpendicular line which is 3.7 in

10) 3×4 (the quadrilateral at the bottom)

11)∵ A= Cross-sectional area× height

  ⇒A= Area of the trapezium × 4

  ∴ A=[tex]\frac{1}{2} \\[/tex] (sum of the parallel sides) × 4

  A=[tex]\frac{1}{2} \\[/tex] (3+6) × 4

  A= 18 in²

12) V=πr²h

    V=π(6)²(12)

⇒V=432 cm³

   TSA=2(πr²)+2πrh

  TSA=2(π(6)²)+2π(6)(12)

 ⇒TSA=240π cm²

13. V=πr²h

    V=π(8)²(7)

   V=448π ft³

TSA=2(πr²)+2πrh

TSA=2(π(8)²)+2π(8)(7)

TSA=240π ft²

9)  3.7 in

10) 12 in²

11) 18 in³

12) V=432π cm³

   TSA= 216π cm²

13)V=448π ft³

   TSA=240π ft²

Find the volume of the figure. Round your final answer to the
nearest hundredth if necessary.
8 m
I
18 m
3.95 m
3.95 m
16 m
The volume of the figure is
m3.

Answers

Answer:

377.62 m³

Step-by-step explanation:

V = 16 × 3.95 × 8 - 8 × 3.95 × (8 - 3.95)

V = 377.62

What is the value of x? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. x = m A scalene triangle U V W. Side U V is labeled as 19 meters. Side U W is labeled as x. Angle U is labeled as 81 degrees. Angle V is labeled as 30 degrees.

Answers

Answer: 5

Step-by-step explanation:

What is the value of x?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

x =

m

A scalene triangle U V W. Side U V is labeled as 19 meters. Side U W is labeled as x. Angle U is labeled as 81 degrees. Angle V is labeled as 30 degrees.

Answer: 10.2

I just took the test and this is the correct answer

PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!

Answers

I already answer this on the other one, but here it is again.

Answer:

13 5/8 Or 13.625

Explanation:

• Let's start with 1/4. There are five days that has the amount of 1/4 of rainfall.

So we have to add all five of the 1/4 or just multiply:

1/4 x 5 = 5/4

• Now for the 3/8. There are twelve days that has that amount of rainfall.

3/8 x 12 = 36/8

· For 1/2. There are five days.

1/2 x 5 = 5/2

· For 5/8. There's five days.

5/8 x 5 = 25/8

• Lastly for 3/4. There is three days.

3/4 x 3 = 9/4

• Now we add all of the amount together: 5/4 + 36/8 + 5/2 + 25/8 + 9/4

- To add, we have to find the Least Common Denominator (LCD), which is 8.

So we have to make all of the fractions into a denominator of 8 by multiplying:

5/4 –> 10/8 (Multiply by 2)

36/8 (Stays the same, already have the denominator of 8)

5/2 –> 20/8 (Multiply by 4)

25/8 (Stays the same, already have the denominator of 8)

9/4 –> 18/8 (Multiply by 2)

• Now add:

10/8 + 36/8 + 20/8 + 25/8 + 18/8 = 109/8

109/8 = 13 5/8

Or as decimal form: 13.625

i beg for help where are the geniuses?

Answers

Answer:

CB = sqrt62

Step-by-step explanation:

The pythagorean theorem will help with this! First take triangle ACD, AD^2 + CD^2 = AC^2. Plug in, AD^2 + 16 = 25. AD^2  = 9. AD = 3. I'm not exactly sure how to find DB, but I can assume it's double of AD< so 6. We know CD is 4, so  4^2 + 6^2 = CB^2. 16 + 36 = CB^2. CB = sqrt62

Sorry if this isn't exactly right, there's no exact way to find DB.

Answer:

CB = sqrt62

Step-by-step explanation:

The Pythagorean theorem will help with this! First take triangle ACD, AD^2 + CD^2 = AC^2. Plug in, AD^2 + 16 = 25. AD^2  = 9. AD = 3. I'm not exactly sure how to find DB, but I can assume it's double of AD< so 6. We know CD is 4, so  4^2 + 6^2 = CB^2. 16 + 36 = CB^2. CB = sqrt62

please help! find the solution set of the inequality

Answers

Answer:

[see below]

Step-by-step explanation:

[tex]5x+13\geq -37\\\\5x+13-13\geq -37-13\\\\5x\geq -50\\\\\frac{5x\geq -50}{5}\\\\ \boxed{x\geq -10}[/tex]

Hope this helps.

What is your shoe size?
Statistical
Non-statistical

Answers

Answer:

Non-statistical

Step-by-step explanation:

Answer:

If you are asking just me, or one person, non statistical, OR if you were asking more than one person, that would be statistical

Step-by-step explanation:

hii please help asap ill give brainliest thanks

Answers

Answer: the answer is B

Step-by-step explanation:

The duty of the Vaishyas is sacrifice, giving gifts, agriculture, breeding, and trade. However, later the Sudras take over agriculture and breeding and the Vaishyas become traders, merchants, landowners, and money-lenders. ... The Vaishyas also focused on religious education, because they wanted to be “twice-born”

Answer:

Is B. Vaishyas

Step-by-step explanation:

how many lines of symmetry does the letter x have

Answers

the letter x has two lines of symmetry.

Answer:

Step-by-step explanation:

I think it's got 4, one on the X axis, one on the y axis,   one on the y=x  line and one on the y =-x line  :P

can someone solve #8?

Answers

#8 is not a function because there are two 8 on the x axis. In order for this to be a function there can only be 1 input to an output

In AWXY w = 2.5 inches, y = 2.4 inches and angle Y=122^ Find all possible values of angle W , to the nearest of degree .

Answers

Answer:

no possible triangles

Step-by-step explanation:

found on deltamath

xsquare multiply by 6x =0

Answers

Answer:

x = 0

Step-by-step explanation:

take the root of both sides and solve

I hope this helps :)

rewrite the radical equation​

Answers

Answer:

12x³y⁴z³[tex]\sqrt{z}[/tex]

Step-by-step explanation:

[tex]\sqrt{144x^6y^8z^7}[/tex] =[tex]\sqrt{12^2(x^3)^2(y^4)^2(z^3)^2z}[/tex] =12x³y⁴z³[tex]\sqrt{z}[/tex]

Answer:

solution given:

[tex] \sqrt{144 {x}^{6} {y}^{8} {z}^{7} } = \sqrt{(12 {)}^{2}( {x}^{6} ) {y}^{8} ( { {z}^{1} })^{6} } = 12 {x}^{3} {y}^{4} {z}^{3} \sqrt{z} [/tex]

is your answer.


Ms. Roberts studied her students' geography test scores and sleeping habits. She found that students who slept less tended to earn
lower scores on the test. What conclusion should she make?

Answers

Step-by-step explanation:

she should tell the students that sleep less to get to their beds early, as the brain needs rest to function properly

Answer:

There is a correlation between test score and amount of sleep. There may or may not be causation. Further studies would have to be done to determine this.

Step-by-step explanation:

There is a correlation between test score and amount of sleep. There may or may not be causation. Further studies would have to be done to determine this.

What’s the answer????

Answers

Answer:12

Step-by-step explanation:12

Alica created a portrait that is 10 inches wide and 13 inches long she wants to put a frame that is 2 1/4 wide on each side

Answers

Answer:

[tex]A_f=470ft[/tex]

[tex]P_f=88ft[/tex]

Step-by-step explanation:

From the question we are told that:

Width of Portrait [tex]w=10inches[/tex]

length of Portrait [tex]l=13inches[/tex]

Frame each [tex]l_W=21/4inch each[/tex]

 

Generally the equation for area of portrait A is mathematically given by

[tex]A=w*l\\A=10*13\\A=130m^2[/tex]

Generally the equation for Perimeter of portrait is mathematically given by

[tex]P=2(w+l)\\P=2(10+13)\\P=46m[/tex]

Generally the equation for area of portrait  with frame is mathematically given by

[tex]A=w_f*l_f[/tex]

where

w_f=width of portrait with frame

[tex]w_f=2*21/4+w\\w_f=2*21/4+10\\w_f=20.5ft[/tex]

l_f=Length of portrait with frame

[tex]l_f=2*21/4+l\\l_f=2*21/4+13\\l_f=23.5ft[/tex]

Therefore Area of picture with frame

[tex]A_f=w_f*l_f[/tex]

[tex]A_f=20.5*23.5[/tex]

[tex]A_f=470ft[/tex]

Generally the equation for Perimeter of portrait is mathematically given by

[tex]P_f=2(w_f+l_f)\\P_f=2(20.5+23.5)\\P_f=88ft[/tex]

i need help with this

Answers

i am pretty sure it is 5/-2 (rise/run)

QUICK will give brainlist
What is the shape of each half of the pentagon?

Answers

Answer:

trapezoid

Step-by-step explanation:

Answer:

Trapezoids and diamonds but you really have to look closely

Step-by-step explanation:

Captain Ishaan has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and his merciless band of thieves. If his ship hasn't already been hit, Captain Ishaan has probability \dfrac{2}{5} 5 2 ​ start fraction, 2, divided by, 5, end fraction of hitting the pirate ship. If his ship has been hit, Captain Ishaan will always miss.

Answers

Answer: 0

Step-by-step explanation: khan academy

2. Which of the following expressions has a simplified
value of 2a + 2?
A. -6a + 9a + 4-2
B. -a + 4 + 5a-a-6
C. -8 + 3a + 10 - a
D. -10 -5a + 12 + 8a

Answers

Answer:

C) -8 + 3a + 10 -a = 2a + 2

Step-by-step explanation:

I think the answer might be C.

Step-by-step explanation:

That is because if you look at C, it is -8 + 3a + 10 - a. Since it says -a, it means you have to subtract 3a - a = 2a, since a variable equals one in algebra.  Then all that is left is -8 + 10, which will give you 2, which will give you 2a + 2. Hope this helps.

The sum of an integer and its _____ inverse is 0.

Answers

Answer- additive
Can u pls give Brainly if it’s right.

jess picked 2/5 pound of blueberries on monday and 4/5 pound of blueberries on tuesday. she needs 2 pounds of blueberries to make a pie. how many more blueberries does jess need to pick?

Answers

Answer:

Jess needs to pick 4/5 pounds more of blueberries

Step-by-step explanation:

Jess needs 2 pounds, which can be written as a fraction as 10/5.

(10/5) - (2/5) - (4/5) = (4/5) more pounds of blueberries

Compare the two box plots. Which of the following statements is not true. Whoever gets right gets Brainly

Answers

Le answer is A because it’s is in the middle of it

Kay’s survey method produced results that are / are not representative of all people in her area because it is a random / biased sample. What can Kay do to improve the quality of her data?

Answers

Answer:

she proved that it wasn't representative

Step-by-step explanation:

Which equation represents the graph shown?
O y=3x
X
3
x = 3y
O y=x+ 3

Answers

The first option I’m pretty sure

Answer:

y = 3x

Step-by-step explanation:

The slope = 6/2 = 3 and it passes through the origin so its of the form y = mx  where m = the slope.

6 times the dierence of d and 5

Answers

Answer:

6(d - 5)

Step-by-step explanation:

The difference of d and 5 represents (d - 5)

Multiply that by 6 to get 6(d - 5)

A funnel used in a manufacturing plant is 4 feet tall. The radius of the base is 6 feet
611
What is the best approximation for the volume of the funnel? (Use 3.14 for)
A
25
B.
75
С
151 n
D
452 n?

Answers

B because that’s how system works
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