Respuesta :
Answer: 15,625 ft³
Step-by-step explanation:
You need to use the formula for calculate the volume of a cylinder:
[tex]V=r^2h\pi[/tex]
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:
[tex]10,000=(12)^2h\pi\\\\h=\frac{10,000}{(144)\pi}ft[/tex]
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:
[tex]V=(15ft)^2(\frac{10,000}{(144)\pi}ft)\pi=15,625ft^3[/tex]