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What is the volume of a cylinder, in cubic centimeters, with a height of $18$ centimeters and a base diameter of $8$ centimeters? Round to the nearest tenths place

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Convert between customary and metric systems

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

18

centimeters and a base diameter of

8

centimeters? Round to the nearest tenths place

Identify Formula: Identify the formula to calculate 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 of the base into the radius. $\newline$ Since the diameter is $8$ centimeters, the radius $(r)$ is half of the diameter. Therefore, $r = \frac{8 \, \text{cm}}{2} = 4 \, \text{cm}$ .
Plug Values into Formula: Plug the radius and height into the formula to calculate the volume. $\newline$ Using the radius of $4\,\text{cm}$ and the height of $18\,\text{cm}$ , the volume $V$ is calculated as follows: $\newline$ $V = \pi \times (4\,\text{cm})^2 \times 18\,\text{cm}$
Perform Calculation: Perform the calculation to find the volume. $\newline$ $V = \pi \times 16 \, \text{cm}^2 \times 18 \, \text{cm}$ $\newline$ $V = \pi \times 288 \, \text{cm}^3$ $\newline$ $V \approx 3.14159 \times 288 \, \text{cm}^3$ $\newline$ $V \approx 904.7784 \, \text{cm}^3$
Round Result: Round the result to the nearest tenths place. $\newline$ The volume of the cylinder, rounded to the nearest tenths place, is approximately $904.8\,\text{cm}^3$ .

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