Worksheet: Volumes of Cylinders

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

Q1:

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

  • A256.56 units
  • B549.78 units
  • C769.69 units
  • D183.26 units
  • E733.04 units

Q2:

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

Q3:

A cylinder has a volume of 54𝜋 cm3. Given that its height is equal to the radius of its base, find its height.

  • A32 cm
  • B23 cm
  • C3 cm
  • D2 cm

Q4:

Work out the volume of a cylinder with a radius of 7 and a height of 5. Give your solution to two decimal places.

Q5:

Which has the greater volume, a cube whose edges are 4 cm long or a cylinder with a radius of 3 cm and a height of 8 cm?

  • Athe cylinder
  • Bthe cube

Q6:

A tree trunk is 14 feet long and has a circumference of 4 feet. By modeling the trunk as a perfect cylinder, work out the volume of wood in the trunk. Give your answer to two decimal places in cubic feet.

Q7:

Find the volume of the cylinder. Give your answer in in3 to one decimal place.

Q8:

Find the volume of a cylinder whose base has a radius of 14 cm and whose height is 3 cm. Use 𝜋=227.

Q9:

Elizabeth needs to manufacture a cylinder with a height of 3 feet and a volume of 90 cubic feet. What will be the radius of the cylinder? Give your solution to two decimal places.

Q10:

A cylinder has a height of 19.5 cm. The base of this cylinder has a circumference of 64 cm. Find the volume of the cylinder to the nearest cubic centimeter.

Q11:

Work out the volume of a cylinder with a diameter of 15 inches and a perpendicular height of 5 inches. Give your answer as a fraction, in terms of 𝜋, in its simplest form.

  • A1,125𝜋4 cubic inches
  • B1,125𝜋2 cubic inches
  • C75𝜋 cubic inches
  • D1,125𝜋 cubic inches
  • E75𝜋2 cubic inches

Q12:

Jennifer wants to fill up a cylindrical fish tank with water. It has a radius of 7 inches and a height of 14 inches. Work out how much water she will need, in cubic inches, giving your solution to two decimal places if needed.

Q13:

A right circular cylinder and an oblique circular cylinder have the same radius and height, as seen in the given figure.

What does Cavalieri’s principle tell us about the volumes of the two shapes?

  • AThe volume of the oblique cylinder is greater than that of the right cylinder.
  • BThe volumes are equal.
  • CThe volume of the right cylinder is greater than that of the oblique cylinder.

Work out the volume of the oblique cylinder. Give your answer in terms of 𝜋.

  • A5𝜋
  • B10𝜋
  • C25𝜋
  • D25𝜋
  • E𝜋5

Q14:

Find the dimensions of the right circular cylinder that is described as follows: the radius and height differ by 2 meters, the height is greater than the radius, and the volume is 28.125𝜋 cubic meters.

  • Aradius = 2.742 m, height = 0.742 m
  • Bradius = 2.742 m, height = 4.742 m
  • Cradius = 2.5 m, height = 4.5 m
  • Dradius = 3.874 m, height = 1.874 m
  • Eradius = 4.5 m, height = 2.5 m

Q15:

Work out the volume of a cylinder with a diameter of 11 and a height of 3.4. Give your solution as a fraction in terms of 𝜋 in its simplest form.

  • A374𝜋5
  • B187𝜋10
  • C187𝜋5
  • D2,057𝜋5
  • E2,057𝜋20

Q16:

A cylindrical wading pool is 2 feet deep and has a diameter of 8 feet as seen in the given figure. How many cubic feet of water would be needed to completely fill the pool? Give your answer to the nearest cubic foot.

Q17:

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

Q18:

A cylinder has a diameter of 8 cm and a height of 12 cm. Work out the volume of the cylinder, giving your answer in terms of 𝜋.

  • A64𝜋 cm3
  • B192𝜋 cm3
  • C768𝜋 cm3
  • D256𝜋 cm3
  • E48𝜋 cm3

Q19:

Find the dimensions of the right circular cylinder whose radius is 3 meters longer than the height and volume is 16𝜋 cubic meters.

  • Aradius = 4 m, height = 1 m
  • Bradius = 10 m, height = 7 m
  • Cradius = 7 m, height = 4 m
  • Dradius = 5 m, height = 2 m
  • Eradius = 1 m, height = 4 m

Q20:

A cylinder has a radius of 9 cm and a height of 14 cm. Work out the volume of the cylinder, giving your answer in terms of 𝜋.

  • A1,134𝜋 cm3
  • B126𝜋 cm3
  • C252𝜋 cm3
  • D63𝜋 cm3
  • E378𝜋 cm3

Q21:

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

Q22:

A cylindrical tube of sweets has a diameter of 4 cm and a length of 15 cm. Work out the volume of the tube, giving your answer accurate to two decimal places.

Q23:

A cylinder has a circular base of radius 𝑟 and height . The cylinder can be dissected into a series of horizontal slices of height 1 which would have volume 𝜋𝑟. There would then be layers of these cylinders. What would the total volume of the cylinder be?

  • A𝑉=2𝜋𝑟
  • B𝑉=𝜋𝑟
  • C𝑉=𝜋𝑟
  • D𝑉=𝜋𝑟
  • E𝑉=2𝜋𝑟

Q24:

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

  • A150.80 cm3
  • B301.59 cm3
  • C904.78 cm3
  • D1,206.37cm
  • E402.12 cm3

Q25:

Work out the volume of a cylinder with a radius of 4 inches and a perpendicular height of 9 inches. Give your answer to two decimal places.

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