Volume and Surface Area of Cones
Calculate the volume and surface area of cones using given dimensions and formulas.
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Volume and Surface Area of Cones
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Read each question carefully and calculate the volume or surface area of the cones as instructed. Use π ≈ 3.14. Round your answers to two decimal places where necessary.
1. The formula for the volume of a cone is V = .
2. The formula for the surface area of a cone is SA = .
3. Calculate the volume of a cone with a radius of 3 cm and a height of 7 cm.
4. A cone has a height of 10 inches and a diameter of 8 inches. Find its volume.
5. A cone has a radius of 5 meters and a slant height of 13 meters. Calculate its surface area.
6. Find the surface area of a cone with a radius of 6 feet and a height of 8 feet.
7. 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 the edge.
The distance from the apex to any point on the circumference of the base.
The circumference of the base.
8. Doubling the radius of a cone will double its volume.
True
False
9. A conical tent has a radius of 4 meters and a volume of 100.48 cubic meters. What is the height of the tent?