Volume and Surface Area of Cones
Calculate the volume and surface area of various cones using given dimensions.
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Volume and Surface Area of Cones
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Read each question carefully and solve for the volume or surface area of the cones. Show all your work. Use π ≈ 3.14 where necessary. Round your answers to two decimal places.
1. A cone has a radius of 5 cm and a height of 12 cm. Calculate its volume.
2. Find the volume of a cone with a diameter of 10 meters and a height of 15 meters.
3. A cone has a radius of 3 cm and a slant height of 5 cm. Calculate its lateral surface area and total surface area.
4. A cone has a radius of 6 inches and a height of 8 inches. Find its total surface area.
5. The formula for the volume of a cone is V = .
6. The formula for the lateral surface area of a cone is L.S.A. = .
7. The formula for the total surface area of a cone is T.S.A. = .
8. Which of the following represents the slant height of a cone?
The perpendicular distance from the apex to the base.
The distance from the center of the base to any point on the circumference.
The distance from the apex to any point on the circumference of the base.
The circumference of the base divided by 2π.
9. Doubling the radius of a cone will double its volume.
True
False