A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed within the cylinder, and then the cylinder is filled with water. How much water is in the cylinder? Give your answer in terms of pi. A. 576π in3 B. 591π in3 C. 540π in3 D. 504π in3

D. 504π in3

Step-by-step explanation:

So we know:

Diameter = 12

Radius = 6

15 inches tall

Diameter of the sphere = 6

Radius of the sphere = 3

So now we need to find the volume of the cylinder:

The volume of the cylinder = π × 6 × 6 × 15 = 540π. (You wanna keep the pi so don't mulitply 3.14)

The volume of the sphere = 4/3 π r × r × r = 4/3 × 3 × 3 ×3 = 36 π. (You wanna keep the pi so don't mulitply 3.14)

Now subtract 540π - 36π = 504 in3.

So therefore the answer is D. 504π in3.

Hoped that helped!!