Question

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

D) V=2/3 (11)

Explanation:

e d ge n u i t y

feel free to comment if there is an error

:))

Answer 2

Explanation:

We have, a sphere and a cylinder have the same radius and height. The volume of the cylinder,
`V_c=11\ ft^3`

The volume of sphere is :
`V_s=(4)/(3)\pi r^3`

The volume of cylinder is :
`V_c=\pi r^2h`

Dividing the volume of sphere and the volume and cylinder, such that,

`(V_s)/(V_c)=(4\pi r^3)/(3\pi r^2h)`

As r = h

`(V_s)/(V_c)=(4)/(3)\\\\V_s=(4V_c)/(3)\\\\V_s=(4)/(3)* 11`

So, the volume of sphere is (four-third) of 11. therefore, the correct option is (A).