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

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

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Convert between customary and metric systems

Full solution

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

20

feet and a base diameter of

4

feet? Round to the nearest tenths place

\newline

Answer:

V=\square

feet

^{3}

Find Radius of Base: To find the volume of a cylinder, we use the formula $V = \pi r^2 h$ , where $V$ is the volume, $r$ is the radius of the base, and $h$ is the height of the cylinder. First, we need to find the radius of the base. The radius is half of the diameter. $\newline$ Radius ( $r$ ) = Diameter / $2$ $\newline$ Radius ( $r$ ) = $4$ feet / $2$ $\newline$ Radius ( $r$ ) = $2$ feet
Calculate Volume Formula: Now that we have the radius, we can plug it into the formula along with the height to calculate the volume. $\newline$ $V = \pi r^2 h$ $\newline$ $V = \pi (2 \, \text{feet})^2(20 \, \text{feet})$
Square Radius and Multiply: Next, we square the radius and multiply by the height. $\newline$ $V = \pi(4 \text{ feet}^2)(20 \text{ feet})$ $\newline$ $V = \pi(80 \text{ feet}^3)$
Approximate Volume with $\pi$ : We can use the approximation $\pi \approx 3.1416$ to calculate the volume. $\newline$ $V \approx 3.1416 \times 80 \text{ feet}^3$ $\newline$ $V \approx 251.328 \text{ feet}^3$
Round Volume to Nearest: Finally, we round the volume to the nearest tenths place. $V \approx 251.3 \text{ feet}^3$

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