math

posted by .

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 capacity is the second container filled with juice?

b. a third cylindrical container is such that the entire amount of juice only takes up 27% of the capacity of the container. As a result, what would one pair of possible dimensions be for the diameter and height of this third container?

• math -

a) Find the volume of the first cylinder using V=pi(h)(r)^2 and then multiply that by .75. This is the volume of the juice. Then, you divide that amount by the volume of the second container.
b) Divide the amount of the juice by .27 to get the volume of the new container and then set that equal to the volume equation and plug in values.

Similar Questions

1. math

the base of a cylindrical juice container is a circle with diameter 20 cm. The height of the container is 80cm. What is the capacity of the juice container?
2. math

A cylindrical container has a diameter of 12 inches and a height of 15 inches, as illustrated in the accompaying diagram. What is the volume of this container to the nearest tenth of a cubic inch?
3. Geometry

A cone and cylinder both have a radius of 3 inches and a height of 6 inches. If the cone-shaped container is filled with water and this water is then poured into the empty cylindrical container, what will be the depth, in inches, of …
4. math

There are 231 cubic inches in a gallon. a large juice can has a diameter of 6 inches and a height of 10 inches.How many gallons of juice dos the can hold?
5. 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?
6. 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?
7. prealgebra

Caitlin's cylindrical jar holds 525 cubic inches. If the height of the jar is 7 inches what is the approximate diameter?
8. 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?
9. math-geometry

the sunshine orange juice company wants its product in a one quart container(1 quart=107.75 cubic inches). the manufacturer for their containers makes cylindrical cans that have a base that is 5 inches in diameter. what will be the …