Question

Tommy is thinking about using three different sizes of soup cans. His first can has a volume of 24 pi inches cubed, and his second can has a volume of 50 pi inches cubed. Which of these cans will hold more soup than the other two cans Tommy is considering? A cylinder with height 4 inches and radius 4 inches. A cylinder with height 7 inches and diameter 4 inches. A cylinder with height 5.5 inches and radius 3 inches. A cylinder with height 6.5 inches and Base B = 4 pi inches squared.

Answer 1

The answer is A

Explanation:

I barely did it

Answer 2

A)A cylinder with height 4 inches and radius 4 inches.

Explanation:

Volume of a Cylinder =
`\pi r^2 h`

Next, we determine the volume of the options being considered by Tommy.

Option A:

A cylinder with height 4 inches and radius 4 inches.

`Volume =\pi *4^2*4=64\pi` cubic inches

Option B

A cylinder with height 7 inches and diameter 4 inches.

`Volume =\pi *2^2*7=28\pi` cubic inches

Option C

A cylinder with height 5.5 inches and radius 3 inches.

`Volume =\pi *3^2*5.5=49.5\pi` cubic inches

Option D

A cylinder with height 6.5 inches and Base Area B = 4 pi inches squared.

`Volume =4*6.5*\pi=26 \pi` cubic inches

The cylinders in Option A will hold more soup than the other two cans Tommy is considering.