67.8k views
3 votes
How much water is in the cylinder ?

How much water is in the cylinder ?-example-1

1 Answer

6 votes

Answer:

339π in³

Explanation:

The amount of water is the difference between the volume of the cylinder and the volume of the ball. The appropriate volume formulas are ...

cylinder V = πr²h

sphere V = (4/3)πr³

For the given numbers, the volumes are ...

cylinder V = π(5 in)²(15 in) = 375π in³

sphere V = (4/3)π(3 in)³ = 36π in³

The water volume is the difference of these ...

water volume = cylinder V - sphere V

= 375π in³ - 36π in³ = 339π in³

User Akop
by
5.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.