Question

The volume of a tree stump can be modeled by considering it as a right cylinder. Daniel measures its height as 0.8 ft and its volume as 9583 cubic inches. Find the stump’s diameter in inches. Round your answer to the nearest tenth if necessary.

Answer 1

Answer: 35.7

Explanation:

Answer 2

So,

The formula to find the volume of a cylinder is given by:

`V=\pi\cdot r^2\cdot h`

Where r is the radius and h is the height.

Replacing our values:

(0.8ft = 9.6in)

`\begin{gathered} 9583in^3=\pi\cdot r^2\cdot9.6in \\ r^2=(9583in^3)/(9.6\pi in)\to r^2=317.7462in^2\to r=17.8254in \end{gathered}`

The diameter is the double of the value of the radius. So,

`D=2(17.8254)=35.7in`

Therefore, the answer is 35.7in