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A right triangle with sides $6 cm, 8 cm,$ and $10 cm$ is revolved about the side $8 cm .$ What is the curved surface of the solid so formed?

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188.57 cm 2

178.4 cm 2

168.1 cm 2

158.3 cm 2

answer is A.

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Detailed Solution

Given- sides of right triangle are

6 cm, 8 cm,

and

10 cm

.
To find- the curved surface of the solid.
The solid formed will be a cone with radius 6cm, slant height 10cm and height as 8cm.

Curved surface area of cone = π r l = 227 (6) (10) = 13207 = 188.57 cm 2

Thus, the curved surface area is

188.57 cm 2

.
Hence, option 1 is the correct option.

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