Question

6

The formula for the volume of a cylinder is as follows, where V is the volume of the cylinder, r is the radius of the base, and l is the length of the cylinder.

V=\pi r^2lV=πr
2
l

Solve for l in terms of V and r then find the length of a cylinder that has a volume of 1256 cubic inches and whose base has a radius of 7 inches. Round your answer to the nearest tenth of an inch; use 3.14 for π.

Answer 1

8.2 in is the correct answer to the question

6

The formula for the volume of a cylinder is as follows, where V is the volume of the cylinder, r is the radius of the base, and l is the length of the cylinder.

V=\pi r^2lV=πr

2

Answer 2

• 8.2 in

Explanation:

Volume formula:

• V = πr²l

Solving for l:

• l = V/(πr²)

Length of the given cylinder:

• l = 1256/(π7²) = 1256/(3.14*49) = 8.2 in rounded