two stockpots are similar cylinders. the smaller stockpot has a height of 10 inches and a radius of 2.5 inches. the larger stockpot has a height of 16 inches. what is the volume of the larger stockpot

Respuesta :

To find the volume of the larger stockpot, you will need to find the radius using proportional reasoning.

Use the following proportion to solve for the radius of the large stockpot.

height   10 in       16 in
radius   2.5 in       x in.

10x = 2.5 x 16
10x = 40
x = 4 in.

The radius of the larger stockpot is 4 in.

V = pi x r^2 x h
      3.14 x 4^2 x 16
V = 803.84 cubic inches

The volume of the larger stockpot is approximately 803.84 cubic inches.