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Q.

What is the number of surfaces of a right circular cone?

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a

2

b

3

c

4

d

1 

answer is B.

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Detailed Solution

It is given right circular cone.
We know that, the circular base's center point and the cone's peak are connected in a right circular cone.
In right circular cone,
slant height = l, height = h, and radius = r.
Question ImageFrom the figure we can say that a right circular cone consists of a circular base and a curved surface. The curved surface area is also known as lateral surface area.
The lateral surface area = πrl   and Base area = π  r 2   .
The total surface area, A=πrl+π r 2  .
This indicates that the cone has two surfaces.
Therefore, the correct option is 2.
 
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