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Find the curved surface area of the frustrum in the figur...

Find the curved surface area of the frustrum in the figure

Find the curved surface area of the frustrum in the figure

A.

16π10cm2

B.

20π10cm2

C.

24π10cm2

D.

36π10cm2

Correct answer is B

x4=6+x6

6x = 4(6 + x) = 24 + 4x

x = 12cm 

 CSA = πRLπrl

= π(6)182+62π×4×122+42

= 6π3604π160

= 36π1016π10

= 20π10cm2