You have a cylinder with a diameter of 15 inches and a height of 12 inches. What is the volume of the largest sphere that will fit inside it?

(Note: The diameter of the largest sphere that can fit inside the cylinder will be equal to the smaller of the cylinder's diameter and height.)

Well, there are two cases in here:

The cylinder is at least the same height as its base diameter. The sphere will have the same diameter, which is 2r.
The cylinder is short, the height is strictly less than the base diameter. We will denote r = 2 h ​ .
The volume is 3 4 ​ π r 3

Answered by Anonymous | 2024-06-10

hey there ;

Answered by deborahhenderson | 2024-06-12

The radius of the largest sphere that fits inside the cylinder is 6 inches. The volume of the sphere is approximately 904.32 cubic inches. This is calculated using the formula V = 3 4 ​ π r 3 .
;

Answered by Anonymous | 2024-12-24