Question

What is the volume of a cylinder, in cubic centimeters, with a height of 7 centimeters

and a base diameter of 18 centimeters? Round to the nearest tenths place

Answer 1

Answer: 1781.3

Step-by-step explanation:

h\hspace{3px}=\hspace{3px}7\hspace{30px}d\hspace{3px}=\hspace{3px}18

h=7d=18

identify variables

r=

r=

\,\,9

9

radius is half of the diameter

V=

V=

\,\,\pi r^2h

πr

2

h

use volume of a cylinder formula

V=

V=

\,\,\pi(9)^2(7)

π(9)

2

(7)

substitute variables into formula

V=

V=

\,\,1781.283034585413

1781.283034585413

multiply

V=

V=

\,\,1781.3\text{ centimeters}^3

1781.3 centimeters

3

round to the nearest tenths place

Answer 2

The volume of a cylinder is
`1782\ cm^3`.

Explanation:

We have,

Height of cylinder, h = 7 cm

Diameter of cylinder, d = 18 cm

Radius, r = 9 cm

It is required to find volume of cylinder. The formula of the volume of cylinder is given by :

`V=\pi r^2h\\\\V=(22)/(7)* (9)^2* 7\\\\V=1782\ cm^3`

So, the volume of a cylinder is
`1782\ cm^3`.