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.

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

Step-by-step explanation:

Volume of a Cylinder =

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

Option A:

A cylinder with height 4 inches and radius 4 inches.

cubic inches

Option B

A cylinder with height 7 inches and diameter 4 inches.

cubic inches

Option C

A cylinder with height 5.5 inches and radius 3 inches.

cubic inches

Option D

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

cubic inches

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

Let m be the coffee mugs and k be the key chains.

m + k = 21
8.50m + 2.75k = 132.50

Use the first equation to solve for k and substitute it into the 2nd equation.

k = 21 - m
8.50m + 2.75(21 - m) = 132.50
8.50m + 57.75 - 2.75m = 132.50
5.75m + 57.75 = 132.50
5.75m = 74.75
m = 13

Prove it
8.50m + 2.75k = 132.50
8.50(13) + 2.75(8) = 132.50
132.50 = 132.50 True

13 coffee mugs