As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have a 3 cm radius and a height of 8 cm. Abigail sloshes 2/3 of the water out of a cup before she gets to drink any. What is the volume of the water remaining in Abigail‘s cup.

25.12cm³

Explanation:

First, we need to calculate the volume of the small cone shaped cups of water which will be:

= 1/3πr²h

where,

π = 3.14

r = 3cm

h = 8cm

Volume = 1/3πr²h

= 1/3 × 3.14 × 3² × 8

= 1/3 × 3.14 × 9 × 8

= 75.36cm³

Since Abigail sloshes 2/3 of the water out of a cup before she gets to drink any, this means that there'll be (1 - 2/3) = 1/3 of the water remaining in Abigail‘s cup. Therefore, the volume of the water remaining in Abigail‘s cup will be:

= 1/3 × 75.36

= 25.12cm³