Question

A paper cup in the shape of an inverted cone is 8 inches tall and has a radius of 1.5 inches. How much water can the cup hold?

Use 3.14 for Pi. Round the answer to the nearest tenth.

Answer 1

The cup can hold 18.84 cube in water.

Explanation:

Given,

The height (h) of the inverted cone = 8 inches

The radius of the base (r) = 1.5 inches

To find the amount of water the cup can hold

That is to find the volume of the cup.

Formula

The volume of a cone with h as height and r as base is =
`(1)/(3)`πr²h

Now, putting the values of r and h and π =3.14 we get,

Volume =
`(1)/(3)`×3.14×1.5²×8 cube in = 18.84 cube in

Hence,

The cup can hold 18.84 cube in water.