SAT Math: Volume 3

Tim has identical drinking glasses, each in the shape of a right circular cylinder with internal diameter of 4 inches. He pours orange juice from a gallon jug into each glass until it is full. If the height of the juice in each glass is about 8 inches, what is the largest number of full glasses that he can pour from one gallon of orange juice? (Note: There are 231 cubic inches in 1 gallon)

$2$

$4$

$6$

$8$

A grain silo is built from two right circular cones and one right circular cylinder. Of the following, which is closest to the volume of the grain silo, in cubic feet?

$11494.04$

$2873.51$

$2514.32$

$4310.27$

An ice cream parlor introduces a new menu item. They will be serving ice cream in cylindrical cartons that are 8 cm in diameter and 12 cm tall.

Using a scoop that is 4 cm in diameter, how many scoops (assuming they are perfectly spherical) can fit in each carton?

An ice cream parlor introduces a new menu item. They will be serving ice cream in cylindrical cartons that are 8 cm in diameter and 12 cm tall.

If each scoop costs $0.55, how much would two full cartons cost?

Jackie is hosting a Halloween party. She orders 2 dozen bottles of cider. Each bottle contains $810 cm^3$ . She will be serving cider in candy corn shaped (cone) glasses that are 8 cm across and 12 cm tall. How many full glasses can be filled?

A grain farmer uses a storage silo that is in the shape of a right circular cylinder above. If the volume of the silo is $84 \pi yd^3$ , what is the diameter of the base of the cylinder, in yards? (Round to the nearest yard)

Note: Do not move on until the activity above has been completed and submitted.