Worksheet: Volumes of Cones
In this worksheet, we will practice calculating volumes of cones and solving problems including real-life situations.
Q4:
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.
Q6:
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 .
Q8:
Find the volume of the cone. Give your answer in cubic millimeters to two decimal places.
Q9:
Determine, to the nearest hundredth, the volume of a cone of base diameter 32 and height 23.
Q10:
Find, to the nearest tenth, the volume of an oblique cone with a diameter of 13 inches and an altitude of 15 inches.
Q11:
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.
Q12:
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 pyramid
- Bthe cone
Q13:
Given that the volume of a right circular cone is 2,574 cm3, determine its volume when its radius is doubled.
Q14:
Given that the volume of a right circular cone is 3,405 cm3, determine its volume when its height is doubled.
- A 6,810 cm3
- B851.25 cm3
- C 1,702.5 cm3
- D 4,815.4 cm3
- E 13,620 cm3
Q15:
Given that the volume of a right circular cone is 643 cm3, determine its volume when its height and radius are doubled.
Q16:
Which would have a greater effect on the volume of a cone, doubling its radius or doubling its height?
- Adoubling its radius
- Bdoubling its height
Q17:
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
Q18:
Victoria 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 in3
- B in3
- C in3
- D in3
- E in3
Q19:
Daniel 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 Daniel 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
Q20:
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.
Q21:
Work out the volume of the cone, giving your answer accurate to two decimal places.
- A155.23 cm3
- B 1,257.33 cm3
- C 7,543.99 cm3
- D 5,029.33 cm3
- E465.68 cm3
Q22:
Work out the volume of the cone, giving your answer accurate to two decimal places.
- A527.79 units3
- B1,583.36 units3
- C3,166.73 units3
- D2,111.15 units3
- E175.93 units3
Q23:
Work out the volume of the cone, giving your answer accurate to two decimal places.
Q24:
Work out the volume of the cone, giving your answer accurate to two decimal places.
Q25:
An ice cream cone has a radius of 3 cm and a height of 11 cm. Work out the volume of the cone, giving your answer accurate to two decimal places.