# math

posted by .

a can of soup completely fills a cylinder 5 inches tall and 3 inches in diameter. If one can of soup is poured into a cylindrical pot with a diameter of 6 inches, to what depth, in inches, will it fill the pot?

• math -

If you think about it, that won't work logically. Your 2nd pot is wider than your first pot, so it will have to be more shallow to fill the same amount of water.

V= pi x r^2 x h

So the first thing we have to do is figure out the volume of the first cylinder.

Pi = 3.14
The radius is half the diameter. So 1/2 of 3 is 1.5. 1.5 squared is 2.25 inches.
The height is 5 inches.

3.14 x 2.25 x 5

That's 35.325 inch^3

That's how much water we have. Now, we just have to plug that into the same equation for the 2nd thing.

35.325 = 3.14 x 9 x ?

35.325 = 28.26x

:)

• math -

With twice the diameter, the base area is 4 times that of the small, full can. That means the liquid inside the wider can will rise to 1/4 the former height, or 5/4 inch.

This agrees with the previous answer but is easier to calculate.

## Similar Questions

1. ### Calculus

A leaky cylindrical oilcan has a diameter of 4 inches and a height of 6 inches. The can is full of oil and is leaking at the rate of 2 cubic inches/hr. The oil leaks into an empty conical cup with a diameter of 8 inches and a height …
2. ### math

A cylindrical jar with height 8 inches and diameter 6 inches is filled to 75% capacity with juice. The juice is then poured into another cylindrical container with a 10 inch diameter and height of 4 inches. a. to what percent of its …
3. ### geometry- need help

Claim: the lateral (side ) surface of any area of any cylinder can is larger than the circlar surface area of its bottom. Which of the following is an example showing that the claim is false?
4. ### For -Ms Sue

Claim: the lateral (side ) surface of any area of any cylinder can is larger than the circlar surface area of its bottom. Which of the following is an example showing that the claim is false?
5. ### calculus

A large soup can is to be designed so that the can will hold 54pi cubic inches of soup. The radius of the can is "x" inches and the height of the can is "h" inches. Find the values for the radius and the height such that the amount …
6. ### Math-Algebra 1

I Really Need Help With This Question!! What is the area of the label on the side of a soup can if the radius of the can is 2 inches, the height is 4 inches, & the label completely covers the sides?
7. ### Math-Algebra 1

I Really Need Help With This Question!! What is the area of the label on the side of a soup can if the radius of the can is 2 inches, the height is 4 inches, & the label completely covers the sides?
8. ### maths

A rectangle is of length 8 inches, breath 11 inches and thickness 2 inches. When it is shaped to a cylindrical rod with the diameter is 10m. What is the height of the cylinder?
9. ### math

a bottle of juice completely fills a cylinder 10 inches tall and 4 inches in diameter. if one bottle of juice is poured into a cylindrical pitcher with a diameter of 6 inches, to what depth in inches will it fill the pitcher?
10. ### math

Tingles wants to sell potato chips in cylindrical containers. So the chips do not fall out the containers will have ends. To be environmentally conscious, the company president wants to make the container entirely out of cardboard. …

More Similar Questions