Find the volume of a right circular cone that has a height of 16 m and a base with a
circumference of 14.7 m. Round your answer to the nearest tenth of a cubic meter.
Answers
Answer:
The volume of a right circular cone that has a height of 16 m and a base with a circumference of 14.7 m is 3,620.62 m³
Step-by-step explanation:
The right cone (or cone of revolution, or right circular cone) is the solid of revolution formed by rotating a right triangle around one of its legs. The bottom circle of the cone is called the base. That is, a cone is a three-dimensional figure with a circular base. A curved surface connects the base and the vertex.
The volume of a 3-dimensional solid is the amount of space it occupies.
The volume V of a cone with radius r is one-third the area of the base B times the height h. This is:
[tex]V=\frac{1}{3}*A*h[/tex]
where A=π*r²
Then: V=[tex]\frac{1}{3}[/tex] *π*r²*h
In this case r=14.7 m and h=16 m. Replacing:
V=[tex]\frac{1}{3}[/tex] *π*(14.7 m)²*16 m
Solving, you get:
V=3,620.62 m³
The volume of a right circular cone that has a height of 16 m and a base with a circumference of 14.7 m is 3,620.62 m³
Related Questions
Directions: Find the indicated trigonometric ratio as a fraction in simplest form. 1. Sin L =
M
2. Tan N =
3. Cos L =
10
N
4. Sin N =
Answers
Answer:
[tex]\sin L = 0.60[/tex]
[tex]tan\ N = 1.33[/tex]
[tex]\cos L = 0.80[/tex]
[tex]\sin N = 0.80[/tex]
Step-by-step explanation:
Given
See attachment
From the attachment, we have:
[tex]MN = 6[/tex]
[tex]LN = 10[/tex]
First, we need to calculate length LM,
Using Pythagoras theorem:
[tex]LN^2 = MN^2 + LM^2[/tex]
[tex]10^2 = 6^2 + LM^2[/tex]
[tex]100 = 36 + LM^2[/tex]
Collect Like Terms
[tex]LM^2 = 100 - 36[/tex]
[tex]LM^2 = 64[/tex]
[tex]LM = 8[/tex]
Solving (a): [tex]\sin L[/tex]
[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin L = \frac{MN}{LN}[/tex]
Substitute values for MN and LN
[tex]\sin L = \frac{6}{10}[/tex]
[tex]\sin L = 0.60[/tex]
Solving (b): [tex]tan\ N[/tex]
[tex]tan\ N = \frac{Opposite}{Adjacent}[/tex]
[tex]tan\ N = \frac{LM}{MN}[/tex]
Substitute values for LM and MN
[tex]tan\ N = \frac{8}{6}[/tex]
[tex]tan\ N = 1.33[/tex]
Solving (c): [tex]\cos L[/tex]
[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos L = \frac{LM}{LN}[/tex]
Substitute values for LN and LM
[tex]\cos L = \frac{8}{10}[/tex]
[tex]\cos L = 0.80[/tex]
Solving (d): [tex]\sin N[/tex]
[tex]\sin N = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin N = \frac{LM}{LN}[/tex]
Substitute values for LM and LN
[tex]\sin N = \frac{8}{10}[/tex]
[tex]\sin N = 0.80[/tex]
The principal has a budget of $225 and expects at least 16 people to attend.
Sandwiches cost $3 each.
Answers
Answer:
$48
Step-by-step explanation:
16 x 3 = 48
Answer:
awnser is 48
Step-by-step explanation:
225÷6=48 yourwelcome
John's mother is three less than four times John's age. Their combined age is 37. What is John's age?
Answers
Determine the value for x
Answers
Answer:
5 im pretty sure
Step-by-step explanation:
if im right, can you mark me brainliest?
The volume of the world's oceans is nearly 1.5⋅10^9 cubic kilometers. Write this number in scientific notation.
Answers
Answer:
"The World Ocean." The Columbia Encyclopedia. CD-ROM. 2007, 6th Ed. New York: Columbia University Press. "The World ocean has an area of about 361 million sq km (139,400,000 sq mi), an average depth of about 3,730 m (12,230)
Viau, Elizabeth Anne. World Builders: Water on Earth. California State University Los Angeles. 2003.
There are two origins of water: comets (extraterrestrial bombardment) and out gassing (condensation of steam from early volcanism). These processes are continuing today.
Step-by-step explanation:
What is the slope of the line graphed above?
Answers
Answer:
m=3, or in y-intercept form, y=3x-3
This subject is on integers
Answers
Answer:
|-8| = 8
Step-by-step explanation:
legit just the opposite of the integer.
(3 -1) y=1/3x-3 write an equation of the line that passes through the given point and is parallel to the given line
Answers
Answer:
[tex]y = 1/3x-2[/tex]
Step-by-step explanation:
General line equation:
[tex]\frac{y-y_{1}}{x-x_{1}} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
Or
[tex]y = a.x + b\\a = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\b = y_{1} - a.x_{1}[/tex]
where a is the slope and b is vertical displacement.
For a line to be parallel to another, they both have to have the same slope, therefor, the parallel line's slope is 1/3.
By substituting the given point and a = 1/3 in above equation for b, b is equal to -2. Therefore,
[tex]y = 1/3x - 2[/tex]
15 POINTS NEED HELP ASAP!!!!!!!!!!!!
Answers
Answer:
The same line.
Step-by-step explanation:
which expression represents five times the sum of a number n and 12
Answers
Answer:
5n + 60
Step-by-step explanation:
5 × (n + 12) = 5 × n + 5 × 12 = 5n + 60
simplify m^12/m^3 pleaseeeee help meeeee
Answers
Answer:
m^12-3
m^9 is the answer
Step-by-step explanation:
M^9
Step by step
Evaluate each algebraic expression for x = -2,3, -0.5, and 1 1/2
2). 4X. 3) 3x+2
PLEASE HELP URGET!!
Answers
Answer:
Step-by-step explanation:
2. 4x= 4*(-2)=-8
4x=4*(3)=12
4x=4*(-0.5)=-2
4x=4*3/2=6
the 3x+2
3x+2=3*(-2)+2=-6+2=-4
3x+2=3*(3)+2=11
3x+2=3*(-0.5)+2=-1.5+2=0.5
3x+2=3*(3/2)+2=9/2+2=13/2=6 1/2
Iesha is headed to the grocery store. She needs to buy eggs. If a dozen (12) eggs cost $10.68 how much will one egg cost at the same rate?
Answers
Answer:
$0.89 in other words 89 cents
Step-by-step explanation:
$10.68/12= 0.89
Ling earns $8 per hour working at the zoo. Write and solve an inequality that can be used to find how many hours she must work in a week to earn at least $120. Interpret the solution.
Answers
Answer:
Ling should atleast work 15 hours a week to earn $120.
Step-by-step explanation:
Ling earn per hour = $8
Let the number of hours she worked to be x.
Now, inequality =
[tex]8x \geq 120[/tex]
Dividing both side by 8.
[tex]\dfrac{8x}{8} \geq \dfrac{120}{8}[/tex]
[tex]x \geq 15[/tex]
Hence, Ling should atleast work 15 hours a week to earn $120.
One serving is 12 fries. How many servings could you get out of a bag of 96 fries?
Answers
Answer:
8 servings
Step-by-step explanation:
12 times 8 is 96 servings
A line passes through (−2, 5) and has slope 1/3 . What is an equation of the line in point-slope form?
Answers
Answer:
point-slope form is : y - y1 = m(x -x1) where m is the slope and y1 and x1 is the point. plug in the given values. since the question wants it in point-slope, you leave it as is.
y - 5 = 1/3 (x - (-2))
Step-by-step explanation:
Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.
Answers
Answer:
dial it up
2:16
simplify
1:8
now multiply 8 by the number of gigs
2:16
3:24
and so on.....
ring ring
1:9
again multiply the cost by the number of gigs
2:18
3:27
and so on....
Last year there were m members in a photography club. This year the number of
members has increased by 10%. The expression m + 0.1m represents the number of
members in the club this year. What is this expression written in simplest form?
Answers
Answer:
m + 10/100(m)
Step-by-step explanation:
Last year there were m members in a photography club.This year the number of members has increased by 10%m + 0.1m represents the number of members in the club this year.So m represents the number of members in the club last year.
A 10% increase of the members = [tex]\frac{10}{100} * m[/tex] = 0.1m
Hence the number of members in the club this year = m + 0.1m
Stacy is covering the box below with sticky wrapping paper. If the paper cost 2 cents per square centimeter, how much will it cost to cover the entire box.
Answers
Given:
The shape of box is a right triangular prism.
Paper cost = 2 cents per square centimeter
To find:
The cost to cover the entire box.
Solution:
In the given right triangular prism, we have 3 rectangle surfaces and 2 triangular surfaces.
Area of a rectangle is
[tex]Area=length\times width[/tex]
Area of rectangle with length 4 cm and width 3 cm is
[tex]A_1=4\times 3=12\text{ cm}^2[/tex]
Area of rectangle with length 4 cm and width 4 cm is
[tex]A_2=4\times 4=16\text{ cm}^2[/tex]
Area of rectangle with length 4 cm and width 5 cm is
[tex]A_3=4\times 5=20\text{ cm}^2[/tex]
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
Area of triangle with base 3 cm and height 4 cm is
[tex]A_4=\dfrac{1}{2}\times 3\times 4[/tex]
[tex]A_4=\dfrac{12}{2}[/tex]
[tex]A_4=6\text{ cm}^2[/tex]
Bottom and top triangular surfaces are equal.
[tex]A_5=A_4=6\text{ cm}^2[/tex]
Now, total surface area of the box is
[tex]A=A_1+A_2+A_3+A_4+A_5[/tex]
[tex]A=12+16+20+6+6[/tex]
[tex]A=60\text{ cm}^2[/tex]
Paper cost = 2 cents per square centimeter
Cost of 60 square centimeter paper is
[tex]60\times 2=120\text{ cents}[/tex]
Therefore, the cost to cover the entire box is 120 cents or $1.2.
Find the area and perimeter of this shape.
PLEASE show step-by-step.
Answers
Answer:
52 ft.
Step-by-step explanation:
there are 8 side that are 3 ft: 3×8=24
there are 4 sides that are 7 ft: 7×4=28
add it and you get: 24+28= 52
The area and perimeter of this shape are 133 ft² and 52 ft respectively.
What is area and perimeter?Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
Given that, a figure we need to find its perimeter and the area,
The figure we will be divided into 4 rectangles with sides 7 ft and 3 ft and a square, with side 7 ft
So, the area of the square = side²
= 7² ft²
= 49 ft²
Now, the area of a rectangle = length x width = 4 x 3 x 7 [since there are 4 rectangles]
= 4 x 3 x 7 = 84 ft²
The whole area = 84 + 49 = 133 ft²
Now, the perimeter = sum of the sides = 7 x 4 + 3 x 8 = 28 + 24 = 52 ft
Hence, the area and perimeter of this shape are 133 ft² and 52 ft respectively.
Learn more about area and perimeter click;
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6 ft
x ft
8 ft
12 ft
Answers
Answer:
576?
Step-by-step explanation:
I think...
Combine like terms: 34z-7+15z
Answers
Answer:
49z - 7
Step-by-step explanation:
like term are having same variable and power.
By these explanation 34z+15z are added and -7 is keep as it is
I need help please. Only answer if you know
Answers
Answer:
57
Step-by-step explanation:
first do what is in the brackets then the parentheses, then multiply the 3
Answer:57
Step-by-step explanation:
Help me help me help me help me help me help me help me help me help me help me help me help There is more than one answer
Answers
i think that's letter B & C
Hi it's Mia! '^' Give the other person brainliest, They worked hard to get the answer you needed! Have a wonderful day! :)
b) Expand 3p(p+5)
c( Solve 4(k-6) = 20
Answers
Paul uses the function y = 7x + 30 to model the situation. What score does Paul’s model predict for 3 hours of homework?
Answers
Answer:
7 he gets 7 becuse he only did 7#43/6/h
Step-by-step explanation:
When you divide a unit fraction by a whole number greater that 1, the quotient is always smaller than the unit fraction being divided. Why is this true? Use an example to support your answer.
Answers
Answer:
The servings that each of your friend received which is 1/8 is the quotient. And the servings that each of your friends got is smaller compared to the half of the round chocolate cake. Therefore, when dividing a unit fraction by a whole number, the quotient is always a unit fraction which is less than the dividend.
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
Let's consider dividing the unit fraction 1/3 by the whole number 2:
= 1/3 ÷ 2
= 1/3 x 1/2
= 1/6
We can see that the resulting quotient, 1/6, is smaller than the original unit fraction of 1/3.
This is because when we divide 1/3 by 2, we are essentially dividing 1 unit of 1/3 by 2 units.
This means that each of the resulting units is smaller than the original unit of 1/3 since it has been divided into more pieces.
In the example above, each resulting unit is 1/6, which is smaller than the original unit of 1/3.
This relationship holds true for any unit fraction and any whole number greater than 1.
The resulting quotient will always be smaller than the original unit fraction being divided.
Thus,
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
Learn more about fractions here:
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Please hurry, I have to turn this in Today. I’ll be posting more questions on it.
Answers
Answer:
24 cm square
Step-by-step explanation:
Formula: ab/2. ( a* b = leg * leg)
6*8/2. (formula)
48/2 (simplify)
24 cm square ( answer)
Accuracy not garunteed
HELP ASAP The tree diagram shows all the possible combinations for heads (H) and tails (T) when 3 coins are tossed. What is the probability that the outcome has at least two heads?
Answers
Answer:
1/2
Step-by-step explanation:
4 out of 8 of the outcomes have at least to heads so it would be 4/8, then you just simply that to get 1/2
A powerful computer is purchased for $2500, but loses 18% of its value each year. How much will it be
worth 4 years from now?
Answers
Answer:
$1130.30
Step-by-step explanation:
Step one:
given data
cost of computer= $2500
rate of loss per year= 18%
time t= 4 years
Step two:
let us computer the loss per year
Year 1 loss
worth= 2500- 2500*0.18
worth= 2500-450
worth= $2050
Year 2 loss
worth= 2050- 2050*0.18
worth= 2050-369
worth= $1681
Year 3 loss
worth= 1681- 1681*0.18
worth= 1681-302.58
worth= $1378.42
Year 4 loss
worth= 1378.42- 1378.42*0.18
worth= 1378.42-248.1156
worth= $1130.30