158k views
1 vote
A sphere with a radius of 15 cm has the same volume as a cylinder with a radius of 5 cm what is the height of the cylinder ?

User CRPence
by
6.6k points

1 Answer

3 votes
the formula for the volume of a sphere is V=Pi radius cubed divided by 0.75. Plus your numbers in and you get V=3.14 times 15 cubed divided by 0.75. The answer is 14130. We know the volumes of both shapes are the same and that the volume of a cylinder is Pi times radius squared time hight. The equation with the numbers plugged in is 14130=3.14 times 5 squared times hight. Multiply 3.14 and 5 squared is 78.5. Now we have 14130=78.5 times hight. Isolate hight by dividing 14130 by 78.5 and the hight is 180 cm
User Antoine Clavijo
by
6.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.