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A cylinder has a base radius of 2 inches and a height of 14 inches. What is its volume in cubic inches, to the nearest tenths place?
Answer:
V= inches
^(3)

A cylinder has a base radius of $2$ inches and a height of $14$ inches. What is its volume in cubic inches, to the nearest tenths place? $\newline$ Answer: $V=$ inches $^{3}$

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Convert between customary and metric systems

Full solution

Q. A cylinder has a base radius of

2

inches and a height of

14

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

\newline

Answer:

V=

inches

^{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.
Calculate Radius Squared: First, we need to square the radius. The radius is $2$ inches, so squaring it gives us $2^2 = 4$ square inches.
Calculate Volume: Next, we multiply the squared radius by the height of the cylinder. The height is $14$ inches, so we calculate $4$ square inches $\times 14$ inches $= 56$ cubic inches.
Multiply by Pi: Now, we need to multiply this result by $\pi$ (pi), which is approximately $3.14159$ . So, we calculate $56$ cubic inches $\times \pi \approx 56 \times 3.14159$ .
Final Calculation: Performing the multiplication gives us approximately $175.9324$ cubic inches.
Round to Nearest Tenth: Finally, we round the result to the nearest tenths place, which gives us $175.9$ cubic inches.

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