Worksheet: Volumes of Cones

In this worksheet, we will practice calculating volumes of cones and solving problems including real-life situations.

Q1:

Work out the volume of a cone with a radius of 3 and a height of 14. Give your solution to two decimal places.

Q2:

Determine the volume of the right circular cone in terms of 𝜋.

  • A 9 , 6 0 0 𝜋 cm3
  • B 1 6 0 𝜋 cm3
  • C 3 2 0 𝜋 cm3
  • D 3 , 2 0 0 𝜋 cm3

Q3:

Determine the volume of the given right circular cone in terms of 𝜋.

  • A 2 5 , 9 2 0 𝜋 cm3
  • B 6 2 , 2 0 8 𝜋 cm3
  • C 2 0 , 7 3 6 𝜋 cm3
  • D 5 7 6 𝜋 cm3

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.

Q5:

The volume of a cone is 441𝜋 cubic inches, and its height is 12 inches. Find its diameter.

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 𝜋=227.

Q7:

A cone has a volume of 486 cubic centimeters. What is the volume of a cylinder that has the same radius and height as the cone?

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 420𝜋 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 = 9
  • B = 3
  • C = 1 3
  • D = 1 9
  • E = 1 6

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 𝜋.

  • A 1 0 . 7 3 1 𝜋 in3
  • B 4 2 . 9 2 4 𝜋 in3
  • C 5 . 1 1 𝜋 in3
  • D 7 4 . 6 0 6 𝜋 in3
  • E 3 2 . 1 9 3 𝜋 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 𝜋.

  • A 5 𝜋 cubic inches
  • B 1 5 𝜋 cubic inches
  • C 5 𝜋 3 cubic inches
  • D 2 0 𝜋 cubic inches
  • E 3 𝜋 5 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.

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