Exploring Cone Problems: Volume and Unit Conversions

A cone-shaped ice cream has a height of 6 inches and a radius of 2 inches. What is the volume of the ice cream? (Use 3.14 for pi)

• 25.12 cubic inches

• 12.56 cubic inches

• 31.42 cubic inches

• 18.84 cubic inches

A party hat is in the shape of a cone with a height of 12 cm and a base diameter of 10 cm. What is the surface area of the hat? (Use 3.14 for pi)

• 150.8 cm²

• 250.0 cm²

• 200.5 cm²

• 282.6 cm²

A traffic cone is 3 feet tall and has a base radius of 1 foot. How many cubic feet of space does the cone occupy? (Use 3.14 for pi)

• 2.5

• 3.14

• 5.5

• 4.0

If a cone has a volume of 150 cubic inches and a height of 10 inches, what is the radius of the base? (Use 3.14 for pi)

• 4.10 inches

• 5.00 inches

• 2.50 inches

• 3.79 inches

A conical water tank has a radius of 4 meters and a height of 9 meters. How much water can it hold in liters? (1 cubic meter = 1000 liters)

• 12000 liters

• 18000 liters

• 15079.64 liters

• 20000 liters

A cone-shaped candle has a height of 8 cm and a radius of 3 cm. If you want to convert the height to millimeters, what is the height in mm?

• 80 mm

• 70 mm

• 100 mm

• 90 mm

A cone has a base radius of 5 cm and a height of 15 cm. What is the volume of the cone in cubic centimeters? (Use 3.14 for pi)

• 392.5 cm³

• 300 cm³

• 250 cm³

• 450 cm³

If a cone has a slant height of 10 cm and a base radius of 4 cm, what is the lateral surface area of the cone? (Use 3.14 for pi)

• 100.5 cm²

• 125.6 cm²

• 150.8 cm²

• 80.4 cm²

A conical flask has a height of 20 cm and a base diameter of 12 cm. What is the volume of the flask in cubic centimeters? (Use 3.14 for pi)

• 300.14

• 250.88

• 200.50

• 150.72

A cone-shaped garden has a height of 5 feet and a base radius of 3 feet. If you want to fill it with soil, how many cubic feet of soil do you need? (Use 3.14 for pi)

• 47.1 cubic feet

• 30.5 cubic feet

• 15.7 cubic feet

• 60.8 cubic feet