What is the height of the tower?

Question

A cylindrical water tower holds 1000,000 pi cubic feet of water. The diameter of the tower is 100 feet. What is the height of the tower?

Answer 1

Hi Sara,

 

The volume of a cylinder is the area of the circular shape times the length (or height) of the cylinder.

 

Area of a circle = pi times r squared. . . Happy Pi day by the way (today is 3 14)

 

The diameter is 100 feet so the radius is 50 feet.

50 squared is 2500. 

 

2500 times pi = 7854 square feet.

 

Now we can divide the volume by 7854 to get the height.

 

1,000,000 / 7854 = 127.3 feet.

 

Dan