Mastering Cylinder Surface Area and Volume Calculations

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

• 30π square meters

• 60π square meters

• 36π square meters

• 48π square meters

If the same water tank is filled to a height of 4 meters, what is the volume of water it holds?

• The volume of water is 16πr² cubic meters.

• The volume of water is 4r³ cubic meters.

• The volume of water it holds is 4πr² cubic meters, where r is the radius of the tank.

• The volume of water is 2πr² cubic meters.

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 6 cm and a height of 12 cm. Calculate the surface area of the can.

• 678.24 cm²

• 500.75 cm²

• 720.50 cm²

• 600.00 cm²

How much soda can the can hold in terms of volume?

• 12 fluid ounces (355 milliliters)

• 16 fluid ounces (473 milliliters)

• 20 fluid ounces (591 milliliters)

• 8 fluid ounces (237 milliliters)

Tags

CCSS.4.MD.A.1

A cylindrical candle has a radius of 2 inches and a height of 10 inches. What is the surface area of the candle?

• 40π square inches

• 48π square inches

• 32π square inches

• 60π square inches

A pipe is shaped like a cylinder with a diameter of 8 inches and a length of 20 feet. Calculate the surface area of the pipe.

• 1500π square inches

• 1800π square inches

• 1952π square inches or approximately 6136.63 square inches

• 2000π square inches

What is the volume of the pipe in cubic feet?

• Volume = π * radius * height^2

• Volume = π * (radius^2) * height

• Volume = 2 * π * radius * height

• Volume = (radius + height) * π

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical storage container has a radius of 4 feet and a height of 3 feet. What is the total surface area of the container?

• 72π square feet

• 56π square feet

• 32π square feet

• 48π square feet

If the container is filled with sand to a height of 2 feet, what is the volume of sand inside the container?

• Volume = A * 2 cubic feet, where A is the base area in square feet.

• Volume = 2 cubic feet, regardless of base area.

• Volume = A * 4 cubic feet, where A is the base area in square feet.

• Volume = A + 2 cubic feet, where A is the base area in square feet.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2