Cone Calculations: Volume and Surface Area Challenges

A cone-shaped ice cream has a radius of 3 cm and a height of 10 cm. What is the volume of the ice cream? (Use the formula V = 1/3πr²h)

• 94.2 cm³

• 30.5 cm³

• 75.0 cm³

• 120.0 cm³

If a traffic cone has a base radius of 5 inches and a height of 12 inches, what is its surface area? (Use the formula SA = πr(r + l), where l is the slant height)

• 100π square inches

• 75π square inches

• 90π square inches

• 60π square inches

A conical water tank has a radius of 6 feet and a height of 9 feet. How much water can it hold? (Use the volume formula)

• 180 cubic feet

• 250 cubic feet

• 450 cubic feet

• 339.29 cubic feet

A cone has a volume of 150 cubic centimeters and a height of 10 cm. What is the radius of the base? (Use the volume formula to find r)

• 2.5 cm

• 5.0 cm

• 4.5 cm

• 3.77 cm

A funnel is shaped like a cone with a diameter of 8 cm and a height of 20 cm. What is the volume of the funnel?

• 250.00 cm^3

• 400.00 cm^3

• 150.50 cm^3

• 335.07 cm^3

If a cone has a radius of 7 cm and a height of 24 cm, what is the total surface area of the cone? (Use the surface area formula)

• 500.00 cm²

• 703.36 cm²

• 850.50 cm²

• 620.75 cm²

A conical vase has a base radius of 3 inches and a height of 10 inches. How many cubic inches of water can it hold?

• 94.2 cubic inches

• 50 cubic inches

• 30 cubic inches

• 120 cubic inches

A cone-shaped candle has a height of 12 cm and a base radius of 5 cm. What is the volume of the candle?

• 50π cm³

• 200π cm³

• 150 cm³

• 100π cm³ or approximately 314.16 cm³

A conical pile of sand has a radius of 4 m and a height of 3 m. What is the volume of the sand pile? (Use the volume formula)

• 8π m³

• 16π m³

• 12π m³

• 20π m³