Question

Sid is packing crushed ice into a cone-shaped cup. The cone has a height of 5 in. Its base has a diameter of 4 in. What is the volume of the cone? StartFraction 20 Over 3 EndFraction pi inches cubed 20 pi inches cubed StartFraction 80 Over 3 EndFraction pi inches cubed 80 pi inches cubed

Answer 1

20 over 3 pi inches cubed

Explanation:

height - 5 in

diameter - 4 in

radius - 2 in (half of diameter)

V =
`\pi r^(2) (h)/(3)`

V =
`\pi (2)^(2) (5)/(3)`

V =
`\pi (4)(5)/(3)`

V =
`\pi ((20)/(3) )`

V =
`(20)/(3) \pi` in³

The volume of the cone is 20 over 3 pi inches cubed.

Hope that helps.

Answer 2

20 over 3 pi inches cubed

Explanation:

The formula for the volume of a cone is 1/3πr² · h

1. Set up the equation

1/3π2² · 5

2. Solve

1/3π(4)(5)

20/3π in.³