How to find the surface area of a cone

Practice Questions

Advanced Geometry › How to find the surface area of a cone

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1

The slant height of a cone is ; the diameter of its base is one-fifth its slant height. Give the surface area of the cone in terms of .

2

What is the surface area of the following cone?

Cone

3

The surface area of cone is . If the radius of the base of the cone is , what is the height of the cone?

4

The lateral area is twice as big as the base area of a cone. If the height of the cone is 9, what is the entire surface area (base area plus lateral area)?

5

If the surface area of a right angle cone is , and the distance from the tip of the cone to a point on the edge of the cone's base is , what is the cone's radius?

6

Use the following formula to answer the question.

The slant height of a right circular cone is . The radius is , and the height is . Determine the surface area of the cone.

7

The radius of the base of a cone is ; its height is twice of the diameter of that base. Give its surface area in terms of .

8

The circumference of the base of a cone is 80; the slant height of the cone is equal to twice the diameter of the base. Give the surface area of the cone (nearest whole number).

9

The circumference of the base of a cone is 100; the height of the cone is equal to the diameter of the base. Give the surface area of the cone (nearest whole number).

10

The radius of the base of a cone is ; its slant height is two-thirds of the diameter of that base. Give its surface area in terms of .

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