Question

Fernanda is filling a cylindrical pot with cans of vegetable soup. The pot has a diameter of 15 in. and a height of 10 in. The soup can has a diameter of 4 in. and a height of 5 in. How many cans of soup will it take to fill up the pot?

Answer 1

28.125 cans

Explanation:

Step 1: Determine the Volume of the Pot

Diameter= 15 inches, therefore Radius=15/2=7.5 Inches

Height =10 Inch

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

Volume of the Pot
`=\pi*7.5^2*10=562.5\pi` cubic inches.

Step 2: Determine the Volume of each can

Diameter= 4 inch, therefore Radius=4/2=2 Inches

Height =5 In.

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

Volume of one can
`=\pi*2^2*5=20\pi` cubic inches.

Step 3: Divide the Volume of the Pot by the Volume of the can

To obtain the number of cans that will fill the pot, we divide the Volume of the Pot by the Volume of the can.

Volume of the Pot÷Volume of one can

`=562.5\pi / 20\pi\\=28.125 \:cans`

Therefore, we conclude that it takes 28.125 cans to fill up the cylindrical pot of soup.