# Worksheet: Volumes of Cylinders

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

**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.

**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.

**Q8: **

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

**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 , in its simplest form.

- A cubic inches
- B cubic inches
- C cubic inches
- D cubic inches
- E 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 .

- A
- B
- C
- D
- E

**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 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 in its simplest form.

- A
- B
- C
- D
- E

**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 .

- A cm
^{3} - B cm
^{3} - C cm
^{3} - D cm
^{3} - E cm
^{3}

**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 .

- A cm
^{3} - B cm
^{3} - C cm
^{3} - D cm
^{3} - E cm
^{3}

**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 and height . The cylinder can be dissected into a series of horizontal slices of height 1 which would have volume . There would then be layers of these cylinders. What would the total volume of the cylinder be?

- A
- B
- C
- D
- E

**Q24: **

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

- A150.80 cm
^{3} - B301.59 cm
^{3} - C904.78 cm
^{3} - D
- E402.12 cm
^{3}

**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.