Volume of a Cone Worksheet
Calculate the volume of various cones using the formula V = (1/3)πr²h.
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Volume of a Cone
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Read each question carefully and calculate the volume of the cone. Use π ≈ 3.14 and round your answers to two decimal places where necessary.
1. A cone has a radius of 5 cm and a height of 12 cm. What is its volume?
2. Find the volume of a cone with a diameter of 10 meters and a height of 15 meters.
3. A conical party hat has a radius of 4 inches and a slant height of 5 inches. What is the volume of the hat?
4. The formula for the volume of a cone is V = .
5. If the radius of a cone is doubled, its volume will be times larger.
6. If the height of a cone is halved, its volume will be .
7. Which of the following is the correct formula for the volume of a cone?
V = πr²h
V = (4/3)πr³
V = (1/3)πr²h
V = 2πrh
8. A cone and a cylinder have the same radius and height. How many cones would it take to fill the cylinder?
1
2
3
4
9. The volume of a cone is always less than the volume of a cylinder with the same base and height.
True
False
10. If the height of a cone is tripled, its volume will also triple.
True
False