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.

Answer 1

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.

Answer 2

Answer:

1. V = 100 in³

2. h = 10 in

Step-by-step 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

$\dfrac{207}{20.7}=\dfrac{20.7h}{20.7}\\\\10=h\to h=10\ in$