Real-World Cylinder Challenges: Volume & Surface Area

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

• 45π cubic feet

• 15π cubic feet

• 30π cubic feet

• 60π cubic feet

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A can of soda is in the shape of a cylinder with a height of 6 inches and a diameter of 3 inches. How much soda can the can hold? (Use the formula V = πr²h)

• 36.87 cubic inches

• Approximately 42.39 cubic inches

• 50.27 cubic inches

• 30.14 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical candle has a radius of 2 inches and a height of 10 inches. If the candle burns down 1 inch, what is the new volume of the candle?

• 40π cubic inches

• 28π cubic inches

• 32π cubic inches

• 36π cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A soup can is a cylinder with a height of 4 inches and a radius of 2 inches. If you want to cover the can with a label, what is the surface area of the can? (Use the formula SA = 2πrh + 2πr²)

• 75.36 square inches

• 90.24 square inches

• 60.48 square inches

• 50.12 square inches

A cylindrical tube has a diameter of 8 cm and a height of 12 cm. What is the total surface area of the tube? (Use the formula SA = 2πrh + 2πr²)

• 128π cm²

• 64π cm²

• 96π cm²

• 144π cm²

A water bottle is shaped like a cylinder with a height of 10 inches and a radius of 3 inches. How much water can it hold? (Use the formula V = πr²h)

• Approximately 250 cubic inches

• Approximately 282.6 cubic inches

• Approximately 150 cubic inches

• Approximately 400 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical vase has a radius of 4 inches and a height of 10 inches. If you fill it with water to a height of 5 inches, what is the volume of water in the vase?

• 80π cubic inches

• 100π cubic inches

• 40π cubic inches

• 20π cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical pipe has a radius of 1 inch and a length of 20 inches. What is the volume of the pipe? (Use the formula V = πr²h)

• 10π cubic inches

• 15π cubic inches

• 20π cubic inches

• 30π cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical jar has a height of 15 cm and a radius of 5 cm. If you want to paint the outside of the jar, what is the surface area you need to paint? (Use the formula SA = 2πrh + 2πr²)

• 314 cm²

• 785 cm²

• 500 cm²

• 628 cm²

A cylindrical tank has a radius of 7 meters and a height of 10 meters. If the tank is filled with water, what is the volume of water it can hold? (Use the formula V = πr²h)

• 5000 cubic meters

• 1000 cubic meters

• 1500 cubic meters

• 2403.6 cubic meters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3