Mastering Volumes & Unit Conversions of 3D Shapes

A cylindrical water tank has a radius of 3 meters. What is the volume of the tank in cubic meters? (Use the formula V = πr²h, and assume the height is 5 meters.)

• 141.3 cubic meters

• 200 cubic meters

• 95.5 cubic meters

• 120.5 cubic meters

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone has a height of 10 cm and a radius of 4 cm. Calculate the volume of the cone. (Use the formula V = (1/3)πr²h.)

• 200.00 cm³

• 167.33 cm³

• 150.00 cm³

• 100.50 cm³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A sphere has a diameter of 12 inches. What is its volume in cubic inches? (Use the formula V = (4/3)πr³, and remember to find the radius first.)

• 1130.98 cubic inches

• 523.60 cubic inches

• 904.32 cubic inches

• 452.16 cubic inches

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical can has a height of 15 cm and a volume of 500 cm³. What is the radius of the can? (Use the formula V = πr²h and solve for r.)

• 3.27 cm

• 4.00 cm

• 2.50 cm

• 5.00 cm

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone-shaped ice cream cone has a radius of 3 inches and a height of 6 inches. How much ice cream can it hold? (Calculate the volume using V = (1/3)πr²h.)

• 45.00 cubic inches

• 72.00 cubic inches

• 56.52 cubic inches

• 30.14 cubic inches

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A spherical balloon has a volume of 904.32 cubic centimeters. What is the radius of the balloon? (Use the formula V = (4/3)πr³ and solve for r.)

• 5 cm

• 7 cm

• 8 cm

• 6 cm

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical storage tank has a volume of 1000 liters. If the height of the tank is 2 meters, what is the radius in centimeters? (Convert liters to cubic centimeters first.)

• 39.87 cm

• 50 cm

• 30 cm

• 45 cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone has a volume of 150 cm³ and a radius of 5 cm. What is the height of the cone? (Use the formula V = (1/3)πr²h and solve for h.)

• 4.25 cm

• 6.10 cm

• 7.50 cm

• 5.73 cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A sphere has a radius of 7 meters. What is its volume in cubic meters? (Use the formula V = (4/3)πr³.)

• 3000.50 cubic meters

• 4523.89 cubic meters

• 523.60 cubic meters

• 1500.00 cubic meters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical pipe has a diameter of 10 cm and a length of 2 meters. What is the volume of the pipe in cubic centimeters? (Convert the length to centimeters first.)

• 20000 cm³

• 12500 cm³

• 10000 cm³

• 15700 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3