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What is the volume of a cylinder, in cubic feet, with a height of 16 feet and a base diameter of 10 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 $16$ feet and a base diameter of $10$ 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

16

feet and a base diameter of

10

feet? Round to the nearest tenths place

\newline

Answer:

V=\square

feet

^{3}

Identify Formula: Identify the formula for the volume of a cylinder. $\newline$ The formula for the volume of a cylinder is $V = \pi r^2 h$ , where $V$ is the volume, $r$ is the radius of the base, and $h$ is the height of the cylinder.
Convert Diameter to Radius: Convert the diameter to radius. $\newline$ Since the diameter of the base is given as $10$ feet, the radius is half of the diameter. Therefore, the radius $r = \frac{\text{diameter}}{2} = \frac{10 \text{ feet}}{2} = 5$ feet.
Plug Values into Formula: Plug the values into the formula. $\newline$ Using the radius of $5$ feet and the height of $16$ feet, the volume $V = \pi \times (5 \text{ feet})^2 \times 16 \text{ feet}.$
Calculate Volume: Calculate the volume. $\newline$ $V = \pi \times 25 \times 16 = \pi \times 400$ $\newline$ $V \approx 3.14159 \times 400$ $\newline$ $V \approx 1256.636$ feet $^3$ (before rounding)
Round Volume: Round the volume to the nearest tenths place. $V \approx 1256.6$ feet $^3$ when rounded to the nearest tenths place.

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