Question

A snow cone cup at the County Fair is 15 cm tall and has a diameter of 8 cm. If the cup is filled just to th

A snow cone cup at the County Fair is 15 cm tall and has a diameter of 8 cm. If the cup is filled just to the top, what is the volume of the cup? Use 3.14 for π and round to the nearest whole cubic centimeter.

Answer 1

The volume of the cup is of 251 cubic centimeters.

Explanation:

The volume of a cone is given by the following equation:

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

In which h is the height and r is the radius(half the diameter).

In this question:

Diameter of 8 cm, so
`r = (8)/(2) = 4`

Height of 15 c, so
`h = 15`

The dimensions are in centimeters, so the volume will be in cubic centimeters.

Volume:

`V = (15*\pi*(4)^(2))/(3) = 251.3`

Rounding to the nearest whole cubic centimeter.

The volume of the cup is of 251 cubic centimeters.