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What is the volume, in cubic meters, of a cylinder with a height of 20 meters and a base radius of 4 meters, to the nearest tenths place?
Answer:
V=◻ meters
^(3)

What is the volume, in cubic meters, of a cylinder with a height of $20$ meters and a base radius of $4$ meters, to the nearest tenths place? $\newline$ Answer: $V=\square$ meters $^{3}$

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Volume of cylinders

Full solution

Q. What is the volume, in cubic meters, of a cylinder with a height of

20

meters and a base radius of

4

meters, to the nearest tenths place?

\newline

Answer:

V=\square

meters

^{3}

Identify Formula and Values: Identify the formula for the volume of a cylinder and the given values. $\newline$ The formula for the volume of a cylinder is $V = \pi r^2 h$ , where $V$ is the volume, $r$ is the radius, and $h$ is the height. In this problem, the radius ( $r$ ) is $4$ meters, and the height ( $h$ ) is $20$ meters.
Plug Given Values: Plug the given values into the formula. $\newline$ Using the values $r = 4$ meters and $h = 20$ meters, the volume $V$ is calculated as follows: $\newline$ $V = \pi \times (4 \text{ meters})^2 \times (20 \text{ meters})$
Calculate Radius Squared: Calculate the radius squared. $\newline$ $(4 \, \text{meters})^2 = 16 \, \text{square meters}$
Multiply Base Area by Height: Multiply the area of the base by the height. $V = \pi \times 16 \text{ square meters} \times 20 \text{ meters}$
Use Approximation of Pi: Use the approximation of $\pi$ (pi) as $3.14$ to calculate the volume. $\newline$ $V = 3.14 \times 16 \text{ square meters} \times 20 \text{ meters}$ $\newline$ $V = 3.14 \times 320 \text{ cubic meters}$
Perform Multiplication: Perform the multiplication to find the volume. $V = 1008$ cubic meters
Round Volume: Round the volume to the nearest tenth of a cubic meter. The volume, rounded to the nearest tenth, is $1008.0$ cubic meters.

More problems from Volume of cylinders

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Question

Rocio drops a ball from a height of

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\newline

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h=4\cdot0.79^{(b-1)}

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h=4\cdot0.79^{b}

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Question

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Question

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Question

Rocio drops a ball from a height of

4

meters. Rocio observes that each time the ball bounces, it reaches a peak height which is

79\%

of the previous peak height, as shown. Which of the following equations correctly models the ball's peak height,

h

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\newline

1

\newline

h=4\cdot0.79^{(b-1)}

\newline

h=4\cdot0.79^{b}

\newline

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\newline

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Question

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Question

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