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Worksheet: Volumes of Cylinders, Cones, and Spheres

Q1:

The volume of a cylinder is . Find the volume of a cylinder with a radius of 4 cm and a height of 14 cm. Leave your answer in terms of .

  • A cm3
  • B cm3
  • C cm3
  • D cm3
  • E cm3

Q2:

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?

Q3:

A cylinder has a height of 7.7 cm. The base of this cylinder has a circumference of 100 cm. Find the volume of the cylinder to the nearest centimeter cubed.

  • A
    2 965
    cm3
  • B
    6 127
    cm3
  • C385 cm3
  • D
    12 255
    cm3

Q4:

A cylinder has a volume of 1 241 cm3 and a height of 13 cm. The radius of this cylinder is equal to the radius of a sphere. Find the volume of the sphere to the nearest centimeter cubed.

  • A382 cm3
  • B72 cm3
  • C702 cm3
  • D127 cm3
  • E395 cm3

Q5:

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

  • A cm3
  • B cm3
  • C cm3
  • D cm3

Q6:

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

  • A cm3
  • B cm3
  • C cm3
  • D cm3

Q7:

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

  • A cm3
  • B cm3
  • C cm3
  • D cm3

Q8:

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

  • A cm3
  • B cm3
  • C cm3
  • D cm3

Q9:

Find the volume of the given cylinder, rounded to the nearest tenth.

Q10:

What is the volume of a sphere whose diameter is 30?

  • A
  • B
    36 000
  • C
  • D
  • E

Q11:

What is the volume of a sphere whose diameter is 6?

  • A
  • B288
  • C
  • D
  • E

Q12:

What is the volume of a sphere whose diameter is 24?

  • A
  • B
    18 432
  • C
  • D
  • E

Q13:

Find the radius of a sphere whose volume is cm3.

  • A cm
  • B cm
  • C cm
  • D cm

Q14:

Find the radius of a sphere whose volume is cm3.

  • A cm
  • B cm
  • C cm
  • D2 cm

Q15:

Find the radius of a sphere whose volume is cm3.

  • A cm
  • B cm
  • C cm
  • D cm

Q16:

The volume of a sphere is equal to the volume of a cylinder with a height of 26 cm and a radius of 18 cm. Find the radius of the sphere, giving your answer to the nearest centimeter.

  • A106 cm
  • B18 cm
  • C79 cm
  • D22 cm

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