Question

A cylinder has a height of 4 meters and a diameter that is 3 times the measure of the height. Using 3.14 for pi, which of the following can be used to calculate the volume of the cylinder?

(3.14)(6m)2(4m)
(3.14)(12m)2(4m)
(3.14)(4m)2(6m)
(3.14)(4m)2(12m)

Answer 1

Option (a) is correct.

The volume of cylinder is
`(3.14)(6m)^2(4m)`

Explanation:

Given : A cylinder has a height of 4 meters and a diameter that is 3 times the measure of the height.

We have to find the volume of cylinder and choose the correct one from the given options.

Consider the given dimension.

height of 4 meters that is h = 4 m

and a diameter that is 3 times the measure of the height that is

d = 3 × height = 3 × 4 = 12m

so radius is half of diameter

So, radius = 6 m

We know, Volume of cylinder =
`\pi r^2h`

Substitute, r = 6 m and h = 4 m

we have,

Volume of cylinder =
`\pi (6)^2(4)`

Also, π = 3.14 , we get,

Volume of cylinder =
`(3.14)(6m)^2(4m)`

Answer 2

Height of a cylinder:
h = 4 m
d = 3 · 4 m = 12 m
r = d/2 = 12 m : 2 = 6 m
The volume:
V = r² π h =
= 3.14 · ( 6 m )² · 4 m= 75.36 m³
Answer:
A ) ( 3.14 )·( 6 m )²·( 4 m )