Question

Find the ratio of the volume of one sphere to the volume of the right cylinder

Answer 1

Answer:

B

Step-by-step explanation:

Let $r$ be the radius of one sphere.

• Volume of sphere is $V=\frac{4}{3}\pi r^3$

Since radius is r,  the height of the cylinder will be $4r$

Also, the cylinder has the same radius as the sphere: $r$

• Volume of Cylinder is $V=\pi r^2 h$

Plugging in the values we get: $V=\pi (r)^{2}(4r)=4\pi r^3$

Ratio of volume of 1 sphere to volume of cylinder is:

$\frac{\frac{4}{3}\pi r^3}{4\pi r^3}=\frac{\frac{4}{3}}{4}=\frac{4}{3}*\frac{1}{4}=\frac{1}{3}$

The ratio is 1:3

Answer choice B is right.