Question

1. A right circular cylinder has a height of 5 in. and a base area of 20 in2. What is the volume of the cylinder? Use π = 3.14.

2. A cylinder has a base area of 20.7 in2 and the volume is 207 in3. What is the height of the cylinder?

Answer 1

1. V = 100 in³

2. h = 10 in

Explanation:

The formula of a volume of a cylinder:

`V=Bh`

B - base area

h - height

1. We have

h = 5in, B = 20 in².

Substitute:

`V=(5)(20)=100\ in^3`

2. We have

B = 20.7 in², V = 207 in³.

Substitute:

`207=20.7h` divide both sides by 20.7

`(207)/(20.7)=(20.7h)/(20.7)\\\\10=h\to h=10\ in`

Answer 2

1. Volume of a cylinder is πr^2h

Area of the base would be πr^2

Volume would be the height x the area of the base:

Volume = 5 x 20 = 100 cubic in.

2. Divide the volume by the area:

207 / 20.7 = 10

The height is 10 inches.