Surface Area of Cones

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Show your work for each problem.

1.
What is the formula for the lateral (curved) surface area of a cone?
1. a)
2. b)
3. c)
4. d)
2.
A cone has two surface parts. What are they?
1. a)Top and bottom circles
2. b)Two circular bases
3. c)Circular base and curved lateral surface
4. d)Rectangular base and lateral surface
3.
A cone has radius cm and slant height cm. What is the lateral surface area? Give your answer in terms of (just the coefficient).
4.
What is the slant height of a cone with radius and height ?
5.
Which measurement runs along the surface of the cone from the base edge to the apex?
1. a)Vertical height
2. b)Diameter
3. c)Slant height
4. d)Radius
6.
A cone has radius cm and slant height cm. What is the total surface area? Give your answer in terms of (just the coefficient).
7.
A cone has radius cm and height cm. Find the total surface area in terms of .
8.
A party hat (cone) sits on your head. To calculate the cardboard needed, which surface area formula should you use?
1. a)Lateral area only:
2. b)Double the lateral area:
3. c)Total area:
4. d)Base area only:
9.
A cone has diameter cm and slant height cm. What is the lateral surface area? Give your answer in terms of (just the coefficient).
10.
An ice cream cone has radius cm and height cm. Find the amount of wafer material needed (lateral area only). Round to one decimal place.
11.
A traffic cone has a base diameter of cm and a height of cm. How much reflective material is needed to cover the entire cone? Give your answer in cm, rounded to the nearest whole number.
12.
A cone has lateral surface area cm and radius cm. What is the slant height?
13.
A conical funnel has slant height cm and lateral surface area cm. Find the height of the funnel.
14.
If you double both the radius and slant height of a cone, the surface area is multiplied by:
1. a)4
2. b)8
3. c)2
4. d)16
15.
A cone has total surface area cm. If the slant height is twice the radius, find the radius.