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

Step-by-step 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 : $V_s=\dfrac{4}{3}\pi r^3$

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

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

$\dfrac{V_s}{V_c}=\dfrac{4\pi r^3}{3\pi r^2h}$

As r = h

$\dfrac{V_s}{V_c}=\dfrac{4}{3}\\\\V_s=\dfrac{4V_c}{3}\\\\V_s=\dfrac{4}{3}\times 11$

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

Answer 2

Answer:

A.V = four-thirds (11) pi

Step-by-step explanation: