Real-World Volume

A styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.

• 7234.6 cm^3
• 7984.6 cm^3
• 8934.4 cm^3
• 6034.7 cm^3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

George spends 20 minutes inflating a beach ball.  When the ball is completely inflated, it has a diameter if 18 inches.  How much air does the beach ball hold?

• 75.40 in³
• 37.70 in³
• 3053.63 in³
• 24429.02 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical water tank has a height of 10 feet and a diameter of 8 feet.  The tank is filled halfway with water.  What is the volume of the water currently in the tank?

• 2010.62 ft³
• 251.33 ft³
• 502.65 ft³
• 1005.31 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 

Which equation can be used to find the volume of the container?

• V = π(9)
• V = π(4.5)²(32)
• V = π(9)²(32)
• V = π(4.5)(32)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Michael 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 Michael’s soup pot hold?

• 4239 in³
• 423.9 in³
• 1696.5 in³
•  1695.6 in²

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?

• The cylinder is 1/3 the volume of the cone. 
• The cone is 1/3 the volume of the cylinder. 
• They have the same volume. 
• Their volumes are not related at all. 

Tags

CCSS.5.MD.C.5C

Find the volume of the cylinder.

• 282.6
• 516.2
• 133
• 214

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?

• 1,676 mm³
• 18,850 mm³
• 33,510.3 mm³
• 268,083 mm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How much more liquid would fit in the cylinder if it was already half full?

• 603.43 cm³
• 301.44 cm³
• 201.14 cm³
• 1206.86 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A basketball has a diameter of 10 inches. Find the volume. Round to the nearest tenth. 

• 523.6 in³
• 4188.8 in³
• 92 in³
• 2391.7 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3