# Worksheet: Volume of a Cone

In this worksheet, we will practice calculating the volume of a cone given its height and the area of its base.

**Q5: **

Work out the volume of a cone with a diameter of 10.5 and a height of 11.3. Give your solution to two decimal places.

**Q7: **

Determine, to the nearest tenth, the volume of a right cone having a height of 106 cm, given that the perimeter of its base is 318 cm. Use .

**Q9: **

Find the volume of the cone. Give your answer in cubic millimeters to two decimal places.

**Q10: **

Determine, to the nearest hundredth, the volume of a cone of base diameter 32 and height 23.

**Q11: **

Find, to the nearest tenth, the volume of an oblique cone with a diameter of 13 inches and an altitude of 15 inches.

**Q12: **

A cone has a perpendicular height of 92 inches and a volume of cubic inches. Work out the radius of the cone, giving your answer to the nearest inch.

**Q13: **

Which is greater in volume, a right cone having a base radius of 25 cm and a height of 56 cm, or a right square pyramid having a base with a perimeter of 176 cm and a height of 48 cm?

- Athe cone
- Bthe pyramid

**Q14: **

Given that the volume of a right circular cone is 2,574 cm^{3}, determine its volume when its radius is doubled.

**Q15: **

Given that the volume of a right circular cone is 3,405 cm^{3},
determine its volume when its height is doubled.

- A
13,620 cm
^{3} - B
1,702.5 cm
^{3} - C
851.25 cm
^{3} - D
6,810 cm
^{3} - E
4,815.4 cm
^{3}

**Q16: **

Given that the volume of a right circular cone is 643 cm^{3},
determine its volume when its height and radius are doubled.

**Q17: **

Which would have a greater effect on the volume of a cone, doubling its radius or doubling its height?

- A doubling its radius
- B doubling its height

**Q18: **

If the radius of a cone was tripled but the volume stayed the same, what is relation between the new height and the original height ?

- A
- B
- C
- D
- E

**Q19: **

A cone with a perpendicular height of 9 feet has a density of 6 lb per cubic foot and a mass of 160 lb. Work out, to two decimal places, the radius of the cone, knowing that density .

**Q20: **

Yara is making cone-shaped hats of diameter 4.2 inches and height 7.3 inches for a party. Find the volume of each cone in terms of .

- A
in
^{3} - B
in
^{3} - C
in
^{3} - D
in
^{3} - E
in
^{3}

**Q21: **

Fares wants to make three identical cones made from plaster for a school project. Each cone needs to be 5 inches tall and 2 inches in diameter. How many cubic inches of plaster will Fares need to make his cones? Give your answer in terms of .

- A cubic inches
- B cubic inches
- C cubic inches
- D cubic inches
- E cubic inches

**Q22: **

Completely immersing a metallic cone of height 45.63 cm in a cylinder of water raises the water level by 9 cm. What is the radius of the cylinder if the base radius of the cone is 41 cm? Give your answer to the nearest hundredth, if necessary.

**Q23: **

A traffic cone has a diameter of 15 cm and a height of 0.6 m. By modelling it as a solid cone, work out the volume of the traffic cone, giving your answer to the nearest cubic centimeter.

- A
106 cm
^{3} - B
cm
^{3} - C
35 cm
^{3} - D
cm
^{3} - E
141 cm
^{3}

**Q24: **

Work out the volume of the cone, giving your answer accurate to two decimal places.

- A
155.23 cm
^{3} - B
cm
^{3} - C
465.68 cm
^{3} - D
cm
^{3} - E
cm
^{3}

**Q25: **

Work out the volume of the cone, giving your answer accurate to two decimal places.