Volume of Cylinders and Cones

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. 

• 16.4 cm³
• 31.7 cm³
• 31.4 cm³
• 22.0 cm³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Is the red line a radius or diameter of the circle?

• Radius
• Diameter

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CCSS.HSG.C.A.2

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

• 21 cubic inches
• 63 cubic inches
• 66 cubic inches
• 198 cubic inches

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is this formula used to find?
V=πr²h

• The volume of a cylinder
• The volume of a cone
• The volume of a sphere
• The area of a circle

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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 cm³
• 7984.6 cm³
• 8934.4 cm³
• 6034.7 cm³

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 solid shown in the figure and answer in terms of pi. 

• 480pi
• 1440pi
• 360pi
• 120pi

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for the volume of this shape?

• V=3πr²h
• V=πr²h
• V=⅓πr²h
• V=πrh²

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The volume of a cone is 294.38 cm³. The radius of the base is 7.5 cm. Which of the following could be the height of the cone?

• 4 cm

• 5 cm

• 6cm

• 7cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Mr. Poole's water bottle has a height of 8 inches and a volume of 56.55 inches³. How big is the radius on the water bottle?

• 3 inches
• 2 inches
• 4 inches
• 1.5 inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3