Acity is planning to replace one of its water storage tanks with a larger one. the city's old tank is a circular night with a radius of 12 feet and a volume of 10,000 cubic feet. the new tank is a right circular cylinder with a radius of 15 feet and the same height as the old tank. what is the maximum number of cubic feet of water in the new storage tank will hold?

15,625 ft³

Step-by-step explanation:

You need to use the formula for calculate the volume of  a cylinder:

Where r is the radius and h is the height.

You know the radius and the volume of the old tank, therefore you can find the height as following:

You know that the radius of the new tank is 15 feet and it has the same height as the old tank. Therefore, you can substitute h into the first equation for calculate the volume of a cylinder, to find the maximum number of cubic feet of water that the new storage tank will hold: