Question

A right circular cylinder has a diameter of 8 inches. If the volume of the cylinder is 192 inches,

what is the height of the cylinder (rounded to the nearest inch)? For your calculations, use
7 = 3.14

Answer 1

4 inch

Explanation:

r = 8/2 = 4

Volume = pi × r² × h

192 = 3.14 × 4² × h

192 = 50.24h

h = 600/157

h is approximately 4 inches to the nearest inch

Answer 2

The height of the cylinder is approximately 3.82 or 4 inches.

Explanation:

The formula that can be used to determine the volume of a cylinder is:

`V = \pi r^2h` (Given the volume and diameter, we can solve for the height, or h)

`192 = \pi*4^2*h` (r = 4 since radius is half of the diameter so r = d/2, r = 8/2, r = 4 | We can substitute pi with 3.14 and simplify)

`192 = 50.24*h` (Divide both sides by 50.24)

h = 3.821656050955414

The height of the cylinder is approximately 3.82 or 4 inches.