Question

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27nft3. Which equation gives the volume of the sphere

Answer 1

Answer:

It's (A.) guys

Step-by-step explanation:

Answer 2

Answer:

The volume of the sphere is $V=18\pi\ ft^{3}$

Step-by-step explanation:

we know that

The volume of cylinder is equal to

$V=\pi r^{2}h$

we have

$V=27\pi\ ft^{3}$

substitute

$27\pi=\pi r^{2}h$

simplify

$27=r^{2}h$

Remember that

A sphere and a cylinder have the same radius and height

so

The height of cylinder is equal to the diameter of sphere

h=2r

substitute

$27=r^{2}(2r)$

$13.5=r^{3}$ -----> equation A

The volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

substitute equation A in the formula of the volume of sphere

$V=\frac{4}{3}\pi (13.5)$

$V=18\pi\ ft^{3}$