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Two cones with the same base radius of $8$ cm and height of $15$ cm are joined together along with their bases. Then the surface area of the shape so formed from the options given below is:

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834.857 c m 2

844.857 c m 2

854.857 c m 2

874.857 c m 2

answer is C.

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Detailed Solution

Given that, two cones of same base radius

8

cm and height

15

cm are joined together along their bases.
Obtain the slant length,

l

of the cone.

l = r 2 + h 2 = 82 + 152 = 64 + 225 = 289

So,

l = 17 c m

Obtain the total surface area of the solid.
The surface area of a cone is,

, where,

is the radius and

is the slant height.

S = π r l + π r l = 2 π r l = 2227817 = 854.857 c m 2

The surface area of the solid is

854.857 c m 2

.
Hence, option 3 is correct.

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