A construction company was contracted to build a cylindrical storage tank with a diameter of 48 feet and height of 25 feet. Just before construction was to begin, it was learned that a new law allows tanks to be a maximum of 9 feet in height.
If the tank is redesigned to meet the law, but has the same volume, what is its new diameter?
53 feet, 4 inches
40 feet
106 feet, 8 inches
80 feet

Question

A construction company was contracted to build a cylindrical storage tank with a diameter of 48 feet and height of 25 feet.  Just before construction was to begin, it was learned that a new law allows tanks to be a maximum of 9 feet in height.
If the tank is redesigned to meet the law, but has the same volume, what is its new diameter?
	53 feet, 4 inches
	40 feet
	106 feet, 8 inches
	80 feet

joannablackwelder · Answer

What is the volume of the original design of the tank?

anonymous · Answer

@JoannaBlackwelder That, i do not know ;(

joannablackwelder · Answer

The formula for volume of a cylinder is πr^2h

joannablackwelder · Answer

Can you find it now, @surfsup1507 ?

anonymous · Answer

@JoannaBlackwelder no, i am stuck as to where to go from there :(

joannablackwelder · Answer

Since the diameter is 48 ft, the radius is 24ft, so|dw:1406236768995:dw|