Exploring Cylinder Volume and Surface Area Challenges

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

• 141.37 cubic meters

• 113.10 cubic meters

• 78.54 cubic meters

• 28.27 cubic meters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If the same tank is painted on the outside, what is the surface area that needs to be painted?

• Surface Area = πr^2 + 2πrh

• Surface Area = 4πr^2

• Surface Area = 2πr^2 + 2πrh

• Surface Area = 2πr(h + r)

A soup can is shaped like a cylinder with a radius of 4 cm and a height of 10 cm. Calculate the volume of the soup can.

• 320 cm³

• 502.4 cm³

• 600 cm³

• 400 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How much label material is needed to cover the curved surface area of the soup can?

• 120 square inches

• 50 square inches

• 94.25 square inches

• 75 square inches

A cylindrical candle has a diameter of 6 cm and a height of 12 cm. What is the volume of the candle?

• 250 cm³

• 339.12 cm³

• 400 cm³

• 150 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If the candle is placed in a cylindrical holder with a radius of 7 cm and a height of 15 cm, what is the surface area of the holder?

• 967.68 cm²

• 950.25 cm²

• 1200.00 cm²

• 800.50 cm²

A soda can has a radius of 3 inches and a height of 5 inches. What is the volume of the soda can?

• 15π cubic inches

• 60π cubic inches

• 30π cubic inches

• 45π cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the total surface area of the soda can if it is to be wrapped in a label?

• 275.3 cm²

• 250.0 cm²

• 316.5 cm²

• 400.5 cm²

A cylindrical pipe has a radius of 2 feet and a length of 10 feet. Calculate the volume of the pipe.

• 60π cubic feet

• 40π cubic feet

• 20π cubic feet

• 80 cubic feet

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If the pipe is to be painted, what is the surface area that will be painted?

• Surface area = 2 * π * r * (r + h)

• Total surface area = 2 * π * r * h + 2 * π * r^2

• Surface area = π * r^2

• Surface area = 4 * π * r^2