Cylinders

Applications of Cylinders

Use the formula to solve problems

Determining how much water a cylinder can hold:

Use the formula: V = πr²h

V=(20)²(5)π

V = 2,000π ft³

V is approximately 6280 ft³

Multiple Choice

Which formula represents the correct way to find the amount of water the aquarium will hold?

• V = (25)(14)

• V = π(25)(14)

• V = π(14)²(25)

• V = π(25)²(14)

Finding the Base Area

Use the formula V = Bh

Substitute the known values for V and h

6283.19 = B(5)

Divide by 5

B is approximately 1256.64 ft²

Multiple Choice

The sea lion tank at the aquarium has a volume of approximately 27,488.94 cubic feet and a height of 14 feet. What is the approximate area of a plastic cover that can be used to protect the aquarium? Round to the nearest hundredth.

• about 140.25 ft²

• about 981.75 ft²

• about 1963.50 ft²

• about 3926.99 ft²

Multiple Select

A cyclinder has a volume of 703π cm³ and a height of 18.5 cm. What can be concluded about the cyclinder? Check all that apply.

• The formula for the volume of a cyclinder can be applied to find the area of the base.

• To find the area of the base, multiply volume and height.

• The radius of the cyclinder is half the height.

• The area of the base is 38π cm².

• To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.

Fill in the Blanks

Multiple Choice

What is the area of the base of the cylinder?

• 18π m²

• 36π m²

• 321.75π m²

• 9801π m²

Open Ended

What measures of a cylinder can be determined when given the volume and the height? Describe how to find the measure.

Multiple Choice

Robert is pouring wax into cylindrical candle containers. Approximately 226.19 cubic inches of wax fill one candle jar. Which image represents that volume?

• A

• B

• C

• D

Multiple Choice

Tina is making a cylindrical sandbox that has a radius of 2 feet. She bought 18.84 cubic feet of sand for the sandbox. Which height does she need to make the sandbox to fit all the sand?

• 0.5 ft

• 0.75 ft

• 1 ft

• 1.5ft

Multiple Choice

The city aquarium got a new tank for their dolphins. The tank is 16 feet high with a radius of 28 feet. Answer these questions about the new dolphin tank.

Approximately how much water will it take to fill the tank?

• 1407.43 cubic feet

• 2814.87 cubic feet

• 22,518.94 cubic feet

• 39,408.14 cubic feet

Multiple Choice

The city aquarium got a new tank for their dolphins. The tank is 16 feet high with a radius of 28 feet. Answer these questions about the new dolphin tank.

The aquarium needs to purchase a plastic cover for the tank. What should the approximate size of the cover be?

• 50.27 square feet

• 87.96 square feet

• 804.25 square feet

• 2463.01 square feet

Open Ended

A new cyclindrical swimming pool is being built at the local rec center. It has a radius of 13 feet and a height of 6 feet. Tim determined that 1,014 ft3 of water would be needed to fill the pool, but jasmine calculated that 3,185.57 ft3 of water would be needed. Explain who calculated the volume properly.

Multiple Choice

Wheat & Oats Inc. is planning a design for their new line of flavored oatmeal products. They have to choose one of these cylinder containers.

It costs the company $0.02 per cubic inch of oatmeal to fill a container. The company does not want the new container to cost more than $2.00 to fill. Which of the proposed container sizes should the company use?

• Container A

• Container B

• Container C

• None. They all cost more than $2.00.