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What is the volume of a cylinder, in cubic feet, with a height of 4 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 $4$ 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

4

feet and a base diameter of

4

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.
Calculate Radius: Calculate the radius of the base of the cylinder. $\newline$ Since the diameter of the base is given as $4$ feet, the radius $r$ is half of the diameter. Therefore, $r = \frac{\text{diameter}}{2} = \frac{4 \text{ feet}}{2} = 2$ feet.
Substitute Values: Substitute the values of the radius and height into the volume formula. $\newline$ Using the radius $r = 2$ feet and height $h = 4$ feet, the volume $V$ is calculated as follows: $\newline$ $V = \pi \times (2 \text{ feet})^2 \times 4 \text{ feet}$
Calculate Volume: Calculate the volume using the values substituted in the formula. $\newline$ $V = \pi \times 4 \text{ square feet} \times 4 \text{ feet}$ $\newline$ $V = \pi \times 16 \text{ square feet} \times 4 \text{ feet}$ $\newline$ $V = \pi \times 64 \text{ cubic feet}$
Use Numerical Value: Use the value of $\pi$ (approximately $3.14159$ ) to calculate the volume numerically. $\newline$ $V \approx 3.14159 \times 64$ cubic feet $\newline$ $V \approx 201.06176$ cubic feet
Round Volume: Round the volume to the nearest tenths place. The volume, rounded to the nearest tenths place, is approximately $201.1$ cubic feet.

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