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

Answer:

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

Step-by-step 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.

Answer 2

Answer:

4 inch

Step-by-step 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