Grade 10 Math Worksheet: Volume of a Cone
Calculate the volume of various cones using the formula V = (1/3)πr²h, including problems with different units and finding missing dimensions.
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Volume of a Cone
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Read each question carefully and calculate the volume of the cones. Use π ≈ 3.14 and round your answers to two decimal places where necessary. The formula for the volume of a cone is V = (1/3)πr²h.
1. Calculate the volume of a cone with a radius of 5 cm and a height of 12 cm.
2. A cone has a diameter of 10 inches and a height of 9 inches. Find its volume.
3. If the volume of a cone is 100π cm³ and its radius is 5 cm, its height is cm.
4. A cone with a height of 15 m and a volume of 500π m³ has a radius of m.
5. Which of the following formulas correctly represents the volume of a cone?
V = πr²h
V = (4/3)πr³
V = (1/3)πr²h
V = 2πrh
6. A conical party hat has a height of 20 cm and a circumference of 30π cm at its base. What is the volume of the hat?