# Worksheet: Volumes of Spheres

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

**Q2: **

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

- A
- B
- C
- D
- E36,000

**Q4: **

Which of the following formulae could be used to calculate the volume of the sphere?

- A
- B
- C
- D
- E

**Q5: **

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

**Q6: **

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

**Q7: **

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

**Q9: **

A football can be modeled as a sphere. If the football has a diameter of 20 cm, calculate its volume using this model, giving your answer accurate to two decimal places.

**Q10: **

Find the volume of a sphere whose diameter is 4.2 cm. Use .

**Q11: **

Find the radius of a sphere whose volume is cm^{3}.

- A cm
- B cm
- C cm
- D cm

**Q13: **

Three-quarters of the volume of a sphere is cm^{3}. What is the radius of the sphere?

**Q14: **

Find, to the nearest tenth, the volume of a sphere given that the circumference of its great circle is in.

**Q15: **

Find, to the nearest tenth, the volume of a sphere given that the area of its great circle is in^{2}.

**Q16: **

Benjamin opens a new 2 liters tub of ice cream and has three spherical scoops for dessert. Given that each scoop has a diameter of 40 mm, how many more whole scoops can he get from the tub?

**Q17: **

Two spheres have volumes of and cubic centimeters. What is the ratio of the radius of the small sphere to that of the large one?

- A
- B
- C
- D
- E

**Q18: **

A sphere of metal with radius 14.1 cm was melted down and formed into 4 equal spheres. Find the radius of one of the smaller spheres, giving your answer to the nearest centimeter.

**Q19: **

A metal sphere of diameter 4 cm was melted down and reformed into a cylinder with a base radius of 6 cm. Find the height of the cylinder.

- A cm
- B cm
- C cm
- D cm

**Q20: **

A cuboid of lead has dimensions 154 cm by 48 cm by 42 cm. The cuboid is melted down to form a sphere. Using the approximation , find the radius of the sphere formed.

**Q21: **

A hollow sphere of metal has an internal radius of 1.8 cm and an external radius of 2.2 cm. One cubic centimeter of the metal weighs 30 g. Using the approximation , find the mass of the sphere.

**Q22: **

Find the radius of a sphere whose volume is 1,375,357.68 cm^{3}.
(Use ).

**Q24: **

A hemisphere has a radius of 15 inches. Work out its volume, giving your answer in terms of .

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