Cylinders in Real Life: Volume & Measurement Challenges

A cylindrical water tank has a radius of 3 feet and a height of 5 feet. What is the volume of the tank in cubic feet? (Use the formula V = πr²h)

• 45π

• 15π

• 60π

• 30π

If the water tank from the first question is filled with 100 gallons of water, how many cubic feet of water does that represent? (1 gallon = 0.133681 cubic feet)

• 10.5 cubic feet

• 13.3681 cubic feet

• 15.2 cubic feet

• 12.0 cubic feet

A can of soda is in the shape of a cylinder with a diameter of 2.5 inches and a height of 4.5 inches. What is the surface area of the can? (Use the formula SA = 2πr(h + r))

• 40.00 square inches

• 55.50 square inches

• 30.25 square inches

• 47.75 square inches

You have a cylindrical candle that is 6 inches tall and has a radius of 2 inches. If you want to convert the height of the candle to centimeters, how tall is it? (1 inch = 2.54 cm)

• 12.70 cm

• 15.24 cm

• 18.00 cm

• 10.16 cm

A cylindrical pipe has a diameter of 10 cm and a length of 2 meters. What is the volume of the pipe in cubic centimeters? (1 meter = 100 cm)

• 15700 cm³

• 7850 cm³

• 31400 cm³

• 10000 cm³

A soup can has a height of 12 cm and a radius of 4 cm. If you want to find the volume in liters, how would you convert the volume from cubic centimeters to liters? (1 liter = 1000 cubic centimeters)

• 0.5000 liters

• 0.7500 liters

• 0.6032 liters

• 0.4000 liters

A cylindrical vase has a radius of 5 inches and a height of 10 inches. What is the total surface area of the vase? (Use the formula SA = 2πr(h + r))

• 471.24 square inches

• 314.16 square inches

• 392.70 square inches

• 250.00 square inches

If you have a cylinder with a height of 8 meters and a radius of 3 meters, what is the volume in cubic meters? (Use the formula V = πr²h)

• 150.72 cubic meters

• 226.08 cubic meters

• 300.00 cubic meters

• 180.96 cubic meters

A cylindrical barrel has a radius of 1 meter and a height of 1.5 meters. How many liters of liquid can it hold? (1 cubic meter = 1000 liters)

• 1000 liters

• 3000 liters

• 4710 liters

• 500 liters

You are designing a cylindrical garden that is 4 feet in diameter and 3 feet tall. What is the volume of soil needed to fill the garden? (Use the formula V = πr²h)

• 28.26 cubic feet

• 37.68 cubic feet

• 12.56 cubic feet

• 50.24 cubic feet