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What is the volume, in cubic feet, of a cylinder with a height of 13 feet and a base radius of 10 feet, to the nearest tenths place?
Answer:
V=◻ feet
^(3)

What is the volume, in cubic feet, of a cylinder with a height of $13$ feet and a base radius of $10$ feet, 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, in cubic feet, of a cylinder with a height of

13

feet and a base radius of

10

feet, to the nearest tenths place?

\newline

Answer:

V=\square

feet

^{3}

Formula Explanation: 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. We are given the radius $r = 10$ feet and the height $h = 13$ feet.
Radius Calculation: First, we square the radius: $r^2 = (10 \text{ feet})^2 = 100 \text{ square feet}.$
Volume Calculation: Next, we multiply the squared radius by the height: $100 \text{ square feet} \times 13 \text{ feet} = 1300 \text{ cubic feet}.$
Multiplication by Pi: Now, we multiply this result by $\pi$ (pi), which is approximately $3.14159$ . So, $V = \pi \times 1300$ cubic feet.
Volume Calculation: Calculating the volume: $V \approx 3.14159 \times 1300 \approx 4085.467$ cubic feet.
Rounding: Finally, we round the volume to the nearest tenths place: $V \approx 4085.5$ cubic feet.

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