Cylinder Challenges: Surface Area & Volume Problems

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

• 48π square meters

• 60π square meters

• 36π square meters

• 30π square meters

If the same tank is filled with water, what is the volume of water it can hold?

• The volume of water is determined by the weight of the tank.

• The tank can hold an unlimited amount of water.

• The tank can hold only half of its total volume.

• The volume of water the tank can hold is equal to its total volume calculated using its dimensions.

A can of soup is in the shape of a cylinder with a radius of 4 cm and a height of 10 cm. Calculate the surface area of the can.

• 400 cm²

• 250 cm²

• 300 cm²

• 351.68 cm²

A cylindrical vase has a diameter of 12 inches and a height of 15 inches. What is the surface area of the vase?

• 600.25 square inches

• 850.50 square inches

• 790.68 square inches

• 720.00 square inches

If the vase is filled with water, what is its volume?

• The volume of the vase is determined by its weight.

• The volume of the vase is equal to the volume of water it holds.

• The volume of the vase is always less than the amount of water it can hold.

• The volume of the vase is irrelevant to its shape.

A cylindrical pipe has a radius of 2 inches and a length of 20 inches. Calculate the surface area of the pipe.

• 200.00 square inches

• 150.80 square inches

• 276.32 square inches

• 320.50 square inches

What is the volume of the pipe?

• V = 2πrh

• V = πr²h

• V = πd²h/4

• V = 4/3πr³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A storage cylinder has a radius of 6 feet and a height of 8 feet. If it is used to store oil, what is the total surface area of the cylinder?

• 480 square feet

• 600 square feet

• 526.68 square feet

• 350 square feet

How much oil can the storage cylinder hold in terms of volume?

• The cylinder can hold 100 liters of oil.

• The storage cylinder is made of steel.

• The volume is determined by the weight of the oil.

• The volume of the storage cylinder can be calculated using the formula V = πr²h.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3