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A cylinder has a base radius of 6 feet and a height of 8 feet. What is its volume in cubic feet, to the nearest tenths place?
Answer:
V= feet
^(3)

A cylinder has a base radius of $6$ feet and a height of $8$ feet. What is its volume in cubic feet, to the nearest tenths place? $\newline$ Answer: $V=$ feet ${ }^{3}$

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Find the rate of change of one variable when rate of change of other variable is given

Full solution

Q. A cylinder has a base radius of

6

feet and a height of

8

feet. What is its volume in cubic feet, to the nearest tenths place?

\newline

Answer:

V=

feet

{ }^{3}

Formula Explanation: The formula to calculate the volume of a cylinder is $V = \pi r^2 h$ , where $r$ is the radius and $h$ is the height.
Substitution Step: Substitute the given values into the formula: $V = \pi(6 \text{ feet})^2(8 \text{ feet})$ .
Volume Calculation: Calculate the volume: $V = \pi(36 \text{ feet}^2)(8 \text{ feet}) = \pi(288 \text{ feet}^3)$ .
Multiplication Step: Multiply to find the volume: $V = \pi \times 288 \text{ feet}^3 \approx 3.14159 \times 288 \text{ feet}^3 \approx 904.7787 \text{ feet}^3$ .
Rounding Step: Round the volume to the nearest tenth: $V \approx 904.8$ feet $^3$ .

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