Volume Application

Find the volume of a basketball with a diameter of 10 inches. Round to the nearest tenth (one decimal place).

Find the volume of the treasure chest. Round to the nearest whole mm³.

• 700 mm³

• 817 mm³

• 350 mm³

• 944 mm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A bead of a necklace has the radius of 50 mm. The cylindrical hole in the middle has a radius of 1 mm and a height of 100 mm. find the volume of the bead of a necklace.

•  $V\ =\ 166,666.6\pi\ -\ 100\pi\ =166,566.6\pi\ mm^3$ 

•  $V\ =175,000\pi\ +\ 100\pi\ =175,100\pi\ mm^3$ 

•  $V\ =166,666.6\pi\ +100\pi\ =166,766.6\pi\ mm^3$ 

•  $V\ =\ 5,000\pi\ -\ 100\pi\ =4,900\pi\ mm^3$ 

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How much leather is needed to cover a basketball with a diameter of 14 inches?

• 615.44 in²
• 1932.48 in²
• 2461.76 in²
• 4308.08 in²

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Nathaniel rented a moving truck. The truck's dimensions are 15 ft by 7.5 ft by 7.5 ft. How many 3.375 cubic feet boxes can he fit in the truck?

• 34 boxes

• 250 boxes

• 150 boxes

• 84 boxes

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Marco has a paint can that has a diameter of 6.8 inches and a height of 8 inches. Each cubic inch weighs 0.05 pounds. If the can is full, how much does the can weight altogether?

• 36.3 pounds

• 290.4 pounds

• 14.5 pounds

• 45.1 pounds

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

You have a globe that has a volume of $100\pi\ units^3.$  Find its radius. 

• 25 units

• 2.88 units

• 8.67 units

Tre buys a snow cone and eats the ice down to the paper cup. There is  $2.25\pi\ in^3$  of ice left in the cup. The diameter of the paper cone is 3 in. What is the height of the paper cone?

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If the volume of a rectangular prism is 28.22 cm³ and the area of the base is 8.82 cm², What is the height in centimeters of the rectangular prism? Round to the nearest tenth (one decimal place).

The volume of a cylinder is 80π in³. If the height is 5 in. Find the diameter.

• 2 in

• 4 in

• 2.26 in

• 8 in

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3