Question

A cone has a radius of 5 inches and a height of 5 inches.

What is the volume of the cone to the nearest tenth in³?

Use 3.14 to approximate pi.
25.0 in³

75.0 in³

125.4 in³

130.8 in³

Answer 1

vcone=(1/3)hpir^2
r=5
h=5

V=(1/3)5pi5^2
v=(1/3)5pi25
v=(1/3)125pi
V=130.8333333


4th option
130.8 in³

Answer 2

Option (d) is correct.

Volume of cone = 130.8 inches³

Explanation:

Given : A cone has a radius of 5 inches and a height of 5 inches.

We have to calculate the volume of the given cone.

We know Volume of cone
`=(1)/(3) \pi r^2h`

Given : radius = 5 inches

height = 5 inches

Substitute, we have,

Volume of cone
`=(1)/(3) \pi (5)^2\cdot 5`

Simplify , we have,

Volume of cone
`=(1)/(3) \pi\cdot 125`

Substitute, π = 3.14 , we get

Volume of cone
`=(1)/(3) \cdot 3.14\cdot 125`

Simplify, we have,

Volume of cone = 130.8 inches³

Option (d) is correct.