Word Problems - Volume of cylinders, cones and spheres

Mauricio is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?

• 377 cubic feet

• 942 cubic feet

• 2,958 cubic feet

• 3,768 cubic feet

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone. 

• 50.24 ft³
• 150.72 ft³
• not here
• 192.65 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Calculate the amount of ice cream this cone can hold (just to the top of the cone) . Round to the nearesthundredth.

• 58.29 cm²

• 58.29 cm³

• 233.15 cm²

• 233.15 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Daniel has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. How much soup can Daniel’s soup pot hold?

• 4239 in³

• 423.9 in³

• 1695.6 in³

• 1695.6 in²

Kiara has two spherical balls in her yard (see picture).Which statement about their volumes is true?

• The volume of Ball 2 is twice the volume of Ball 1.

• The volume of Ball 1 is 8 times the volume of Ball 2.

• The volume of Ball 1 is twice the volume of Ball 2.

• The volume of Ball 2 is 8 times the volume of Ball 1.

A deflated basketball needs to be filled for air. Calculate how much air must be pumped into a basketball with a diameter of 9.5 inches.

• 1,346.1 cubic inches
• 667.8 cubic inches
• 897.3 cubic inches
• 448.7 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3