Question

WATER TOWER One of the largest sphere water towers in the country is located in Edmond, Oklahoma. It is 218 feet tall and holds 500,000 gallons, or about 66,840 cubic feet of water. Another town is planning to build a similar water tower. However, the new water tower will hold 3 5 as much water as the tower in Edmond. Determine the radius of the new water tower to the nearest foot.

Answer 1

Answer: The radius of the new water tower is approximately 21 ft^3

Step-by-step explanation:

  So we know the volume  of the Water Tower is 66840 ft^3   and the new one's volume will hold 3/5 as much.  so you will multiply  66840 by 3/5 to find the volume of the new one.

66840 * 3/5 = 40104   so the new water tower will hold 40104 cubic feet of water.

Now to find the radius we will use the formula  v= 4/3$\pi$r^3

40104 =  4/3 * $\pi$* r^3

 40104=  4.1887* r^3

r= 21