SAT Math: Volume 2

A 16 ft. water tank is built from one right circular cone and one right circular cylinder. The city wants to fill it completely with water. How many cubic feet of water can the tank hold?

$835.4 ft^3$

$1256.6 ft^3$

$235.6 ft^3$

$418.9 ft^3$

Jessica is planning to transfer water from her old aquarium tank (Tank I) to her new one (Tank II). How many more gallons of water must she get in order to fill the new tank completely? (Note: There are 231 cubic inches in 1 gallon) Round to the nearest gallon.

$1818$

$13$

$8$

$151$

Sam is constructing a tent for a Scout Test. He is required to build a tent with a volume of $165 ft^3$ . He plans to have a rectangular base of $5ft$ and $9ft$ . How tall must his tent be in order to reach the requirement?

$7 ft$

$10 ft$

$11 ft$

$16 ft$

Thomas has to fill his deflated volleyball with air. The ball is supposed to have a diameter of 12 inches once fully filled. How many cubic inches of air are needed to fill the ball completely, assuming there was no air in the deflated ball? (Leave in terms of $\pi$ )

$2304 \pi in^3$

$904 \pi in^3$

$288 \pi in^3$

$48 \pi in^3$

Mabel finds a cylindrical well and decides to fill it with water. The well is 4 feet across. She can pour 100 cubic feet of water every hour. How many vertical feet would Mabel fill in 2 hours? (Round to the nearest foot)

$200ft$

$101ft$

$8ft$

$16ft$

A ski resort decides to order man-made snow to cover their resort. They would like to cover a section 500 ft wide and 700 ft long with 2 ft of snow. How many cubic feet of snow will they need?

$4861 ft^3$

$700000 ft^3$

$175000 ft^3$

$2404 ft^3$