Question

A cylinder has a height of 30 ft and a volume of 63,679 ft³. What is the radius of the cylinder?

Use 3. 14 for pi and round your answer to the nearest whole number

Answer 1

Radius = 142 ft

Explanation:

Step 1: Rewrite formula for volume of a cylinder in terms of radius:

We know that the formula for volume of a radius is:

`V=\pi r^2`, where

• V is the volume,
• and r is the radius.

We can rewrite the formula in terms of radius using the following steps: (1.) Divide both sides by π and (2.) Take the square root of both sides to isolate r, the radius:

`(V=\pi r^2)/\pi \\√((V/\pi ))=r`

Step 2: Plug in the values and use 3.14 for π in volume formula:

Now we can plug in 63679 and 3.14 for π to find r. Then we can round to the nearest whole number at the end:

`√((63679/3.14))=r\\ 142.407641317=r\\142=r`

Therefore, the radius of the cylinder is approximately 142 ft.