Question

A right cone has a radius of 5 cm and an altitude of 12 cm. Find its volume.

A)

300 cm3

B)

64.1 cm3

C)

942.5 cm3

D)

314.2 cm3

Answer 1

Answer: D) 314.2
`cm^3`

Explanation:

The formula for finding the volume of a right cone is
`V=\pi r^2(h)/(3)`

r is the radius and h is the height/altitude.

We can sub these values in and solve

`V=\pi (5^2)((12)/(3) )\\V=\pi (25)(4)\\V=100\pi`

Let's sub in 3.14 for
`\pi` since that is a close estimate

`V=(100)(3.14)\\V=314`

The volume is about 314.

Our closest answer to that is D so that is the correct choice.

Answer 2

D. V=314.2cm³

Explanation:

The volume of the cone is:

V=pi×r²×h/3=pi×5²×12/3=100×pi=314.2cm³