Question

8. A cylindrical can of dog food has a diameter of 3.5 inches and a height of1.25 inches. A second brand of dog food is packaged in a cylindrical canwith a radius of 1.2 inches and a height of 1.25 inches. What is thedifference between the volumes of the cans? Show your work.

Answer 1

Ok, we are going to calculate the volumes of the cans by separate, and next we are going to subtract them.

The volume formula is:

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

Volume of first can:

Diameter: 3.5

Remeber that the radius is the half of diameter.

Radius: 1.75

Height: 1.25

$V=\pi\cdot1.75^2\cdot1.25\text{ =3.828125}\pi$

Volume of second can:

Radius: 1.2

Height: 1.25

$V=\pi(1.2)^2\cdot1.25\text{ =1.8}\pi$

Now subtract them.

$3.828125\pi-1.8\pi=2.028125\pi$