Cylinder Volume & Surface Area Challenges for 6th Graders

A cylindrical water tank has a radius of 3 feet and a height of 5 feet. What is the volume of the tank?

• 60π cubic feet

• 15π cubic feet

• 45π cubic feet

• 30π 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 radius of 2 inches and a height of 6 inches. Calculate the volume of the soda can.

• 24π cubic inches

• 12π cubic inches

• 18π cubic inches

• 36π cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the surface area of the soda can if it is fully wrapped in a label?

• 318.24 cm²

• 250.50 cm²

• 400.00 cm²

• 275.75 cm²

A cylindrical candle has a radius of 4 cm and a height of 10 cm. How much wax is needed to fill the candle?

• 502.4 cm³

• 600 cm³

• 400 cm³

• 320 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If the candle is placed in a glass holder that has a surface area of 150 cm², how much of the holder's surface area is covered by the candle?

• The candle covers 75% of the holder's surface area.

• Insufficient information to determine the coverage.

• The candle completely fills the holder.

• The candle covers 50 cm² of the holder.

A cylindrical pipe has a diameter of 8 inches and a length of 12 inches. What is the volume of the pipe?

• 128π cubic inches

• 96π cubic inches

• 192π cubic inches

• 64π cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Calculate the surface area of the pipe if it is painted on the outside only.

• π * r^2

• π * r * h

• 2 * π * r^2 + 2 * π * r * h

• 2 * π * r * h

A storage tank in the shape of a cylinder has a radius of 5 meters and a height of 3 meters. How much water can it hold?

• 100 cubic meters

• 150 cubic meters

• Approximately 235.5 cubic meters

• 300 cubic meters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If the tank is to be painted, what is the total surface area that needs to be painted?

• The total surface area is always 100 square meters.

• The surface area is irrelevant for painting.

• Total surface area depends on the shape and dimensions of the tank.

• Only the top of the tank needs to be painted.