Question

question
the volume of a tree stump can be modeled by considering it as a right cylinder. lauren measures its height as 0.7 ft and its radius as 20 in. find the volume of the stump in cubic inches. round your answer to the nearest tenth if necessary.
answer attempt 2 out of 2
in³ submit answer

Explanation:

Step1: Convert height to inches

Since 1 ft = 12 in, then 0.7 ft = 0.7×12 = 8.4 in.

Step2: Use the volume formula for a cylinder

The volume formula for a cylinder is $V=\pi r^{2}h$. Here, $r = 20$ in and $h=8.4$ in. Substitute the values: $V=\pi\times(20)^{2}\times8.4$.

Step3: Calculate the volume

$V=\pi\times400\times8.4 = 3360\pi\approx3360\times3.14159 = 10555.8424$ in³.

Step4: Round the answer

Rounding to the nearest tenth, we get $V\approx10555.8$ in³.

Answer:

10555.8