Question

A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 9cm, and the base has a radius of 4cm. How much water is needed to fill 150 cups? Use 3.14 for π, and do not round your answer.

Answer 1

22608cm³

Explanation:

Step 1

We find how many liters of water can be contained in 1 cup. We do this by finding the volume of the cup.

Cup is shaped as a cone

The volume of a cone = πr²h/3

Where

r = radius = 4cm

h = height = 9cm

π = 3.14

Hence,

Volume of the cone (cup) =

3.14 × 4² × 9/3

= 150.72 cm³

Step 1

How much water is needed to fill 150 cups?

1 cup = 150.72 cm³ of water

150 cups = x

Cross Multiply

x = 150 × 150.72 cm³

x = 22608 cm³ of water

Therefore, 22608cm³ of water is needed to fill 150 cups