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What is the volume, in cubic in, of a cylinder with a height of 17 in and a base radius of 8in, to the nearest tenths place?
V=___

What is the volume, in cubic in, of a cylinder with a height of $17$ in and a base radius of $8$ in, to the nearest tenths place? $\newline$ $V=$

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Volume of cubes and rectangular prisms: word problems

Full solution

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

17

in and a base radius of

8

in, to the nearest tenths place?

\newline

V=

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 $r$ is the radius of the base and $h$ is the height of the cylinder.
Plug in Values: Plug in the given values into the formula. $\newline$ Given that the radius $r = 8$ inches and the height $h = 17$ inches, we substitute these values into the formula to get $V = \pi(8 \, \text{in})^2(17 \, \text{in})$ .
Calculate Volume: Calculate the volume using the given values. $\newline$ $V = \pi(8 \, \text{in})^2(17 \, \text{in}) = \pi(64 \, \text{in}^2)(17 \, \text{in}) = \pi(1088 \, \text{in}^3)$ .
Use $\pi$ Value: Use the value of $\pi$ to calculate the volume to the nearest tenths place. $\newline$ Since $\pi$ is approximately $3.1416$ , we calculate $V \approx 3.1416 \times 1088 \, \text{in}^3 \approx 3419.7248 \, \text{in}^3$ .
Round Result: Round the result to the nearest tenths place. $\newline$ Rounding $3419.7248$ to the nearest tenths gives us $3419.7$ in $^3$ .

More problems from Volume of cubes and rectangular prisms: word problems

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Question

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Question

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meters. Rocio observes that each time the ball bounces, it reaches a peak height which is

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1

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Question

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