Question

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 feet cubed.

A sphere with height h and radius r. A cylinder with height h and radius r.

Which equation gives the volume of the sphere?
V = four-thirds (11) pi
V = two-thirds (11) pi
V = four-thirds (11)
V = two-thirds (11)

Answer 1

9514 1404 393

Answer:

  V = (2/3)(11)

Step-by-step explanation:

The given cylinder has a height of 2r, so its volume is ...

  V = πr²(2r) = 2πr³

The volume of a sphere is given by ...

  V = 4/3πr³

Then the ratio of the volume of the sphere to the volume of the cylinder is ...

  (4/3πr³)/(2πr³) = (4/3)/2 = 2/3

So, the volume of the sphere is 2/3 times the volume of the cylinder:

  V = (2/3)(11)

Answer 2

Answer:

answer is d

Step-by-step explanation:

hope this helps