Question

What is the volume of a cylinder, in cubic meters, with a height of 5 meters and a base

diameter of 6 meters? Round to the nearest tenths place.

Answer 1

the answer is 141.3 cubic meters ( if you use 3.14 for pi)

Explanation:

the volume equation of a cylinder is

V= π
`r^(2) h`

we have to change the 6 meters to 3 meters because the equation for the volume of a cylinder wants the radius not the diameter

V= 3.14 ×
`3^(2)` × 5

that equals 141.3

Answer 2

141.4 meters3

Explanation:

h\hspace{3px}=\hspace{3px}5\hspace{30px}d\hspace{3px}=\hspace{3px}6

h=5d=6

identify variables

r=

r=

\,\,3

3

radius is half of the diameter

V=

V=

\,\,\pi r^2h

πr

2

h

use volume of a cylinder formula

V=

V=

\,\,\pi(3)^2(5)

π(3)

2

(5)

substitute variables into formula

V=

V=

\,\,141.371669412

141.371669412

multiply

V=

V=

\,\,141.4\text{ meters}^3

141.4 meters

3

round to the nearest tenths place