asked 135k views
1 vote
11. How tall is a cylinder if the volume is 50
in³ and the diameter is 4 in?

asked
User Gaponov
by
8.1k points

1 Answer

2 votes

Answer:

The height of the cylinder is 4 inches.

Explanation:

The Volume of a cylinder is:

Vol = BaseArea•ht

The Base of a cylinder is a circle. So BaseArea is the area of a circle.

A = pi • r^2

The diameter is given, 4 inches. The radius is 1/2 that.

1/2 of 4 is 2.

The radius is 2 inches.

Area = pi • 2^2

= pi • 4

= 4pi

The Volume again, is:

V = BaseArea•ht

Volume was also given, 50

50 = 4pi • height

Divide by 4pi

50/4pi = height

3.97887 = height

The height is 4 inches (rounded)

answered
User Jogaco
by
8.4k points

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