## The volume of a cylinder is 288 cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder?

Question

The volume of a cylinder is 288 cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder?

Recall the formula V= a.9 inches
b.12 inches
c.18 inches
d.36 inches

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15 hours 2021-10-12T08:09:34+00:00 2 Answers 0

1. ## Hello!

The correct option is:

C. 18 inches.

## Why?

To calculate the volume of a cylinder we need to use the formula: We are given a cylinder that has a volume of 288 π cubic inches and we know that its radius is equal to 4 inches, so, to calculate the height of the cylinder, we need to isolate it from the equation of volume, so, isolating we have:  Now, substituting the given information, we have: Hence, we have that the correct answer is:

C. 18 inches.

Have a nice day!

The correct answer is option c 18 inches

Step-by-step explanation:

Points to remember

Volume of cylinder =  πr²h

Where r – Radius of cylinder and

h – Height of cylinder

To find the height of cylinder

Here volume = 288π cubic inches and radius = 4 inches

Volume = πr²h

288π = π* 4² * h

288 = 16h

h = 288/16 = 18 inches

Therefore height of cylinder = 18 inches

The correct answer is option c 18 inches