Cones: Surface Area and Volume
This worksheet focuses on calculating the surface area and volume of cones, including problem-solving with real-world applications.
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Cones: Surface Area and Volume
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Read each question carefully and show all your work. Use π ≈ 3.14 when necessary. Round your answers to two decimal places unless otherwise specified.
1. Calculate the volume of a cone with a radius of 5 cm and a height of 12 cm.
2. Find the lateral surface area of a cone with a radius of 3 cm and a slant height of 5 cm.
3. The formula for the volume of a cone is V = .
4. The lateral surface area of a cone is given by the formula LSA = , where 'l' is the height.
5. A cone has a height of 8 inches and a diameter of 12 inches. What is its total surface area?
301.59 sq in
376.99 sq in
452.39 sq in
565.49 sq in
6. An ice cream cone has a height of 10 cm and a base circumference of 18.85 cm. How much ice cream can it hold?
7. A conical tent has a slant height of 13 feet and a base radius of 5 feet. How much canvas is needed to make the tent (excluding the base)?
8. If the radius of a cone is doubled, its volume will also double (assuming height remains constant).
True
False
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