Complete Question
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10 cm, and the base has a diameter of 12 cm. The cooler has 16,956 cm³ of water in it. How many cups can be filled from the cooler?
Answer:
45 paper cups
Step-by-step explanation:
Step 1
We have to find the volume of the paper cups.
The paper cup is shaped like a cone
Hence, Volume of a cone(paper cup) = 1/3πr²h
π = 3.14
Height = 10 cm
Diameter = 12 cm
Radius = Diameter/2 = 12cm/2 = 6cm
Hence,
Volume = 1/3 × 3.14 × 6² × 10
= 376.8 cm³
Step 2
How many cups can be filled from the cooler?
The cooler contains initially = 16,956 cm³ of water
Hence, the number of cups that can be filled from the cooler is calculated as:
Volume of cooler/Volume of paper cup
= 16,956cm³/376.8 cm³
= 45 paper cups
Therefore, 45 paper cups can be filled from the cooler.
