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Q.

The formula used for surface area of a cone is (s denotes slant height):

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a

sq. units

b

sq.units

c

sq.units

d

sq.units

answer is A.

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Detailed Solution

Concept: The cone's curved surface area will be obtained by cutting it open and rolling it out. We'll discover that the shape is a sector of a circle. This sector's area will be equal to the curved surface area of the cone.
First, we determine the curved surface area,
We will open the cone to reveal that the resulting shape is a sector of a circle with a radius equal to the slant height and an arc length equal to the circumference of the circular base.
seo

seo

Area of sector

Area of sector

……(1)
Now,

.

……(2)
Now, we substitute the value of

in (1) .

Area of sector Question Image

Curved surface area

Curved surface area

We know, Area of circle

Surface area of cone

Area of sector + Area of circle

πr(s+r)
So, surface area of a cone

sq. units.
Hence, the correct answer is option 1)

sq. units.

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