Lesson Worksheet: Volumes of Cones Mathematics • 8th Grade

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

Q1:

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

Q2:

Determine the volume of the right circular cone in terms of πœ‹.

  • A9,600πœ‹ cm3
  • B160πœ‹ cm3
  • C320πœ‹ cm3
  • D3,200πœ‹ cm3

Q3:

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

Q4:

Find the volume of a right circular cone in terms of πœ‹ if the area of the circular base is 64πœ‹ cm2 and the slant height is 17 cm.

  • A1,0883πœ‹ cm3
  • B320πœ‹ cm3
  • C1,088πœ‹ cm3
  • D960πœ‹ cm3
  • E480πœ‹ cm3

Q5:

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

  • A25,920πœ‹ cm3
  • B62,208πœ‹ cm3
  • C20,736πœ‹ cm3
  • D576πœ‹ cm3

Q6:

A piece of chocolate is in the form of a right cone; its volume is 952πœ‹ cm3, and the perimeter of its base is 10πœ‹ cm. Find its height.

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 πœ‹=227.

Q8:

A model of a volcano constructed for a science project is cone-shaped with a diameter of 30 cm. If the volume of the model is about 2,614 cm3, find the height of the model to the nearest hundredth.

Q9:

The capacity of a conical flask is 918 mL, and its height is 15.6 cm. Determine its base’s radius to the nearest tenth.

Q10:

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.

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