## A toy is in the form of a cone of radius 3.5m mounted on a hemisphere of same radius, the total height of a toy is 15.5cm. find the S.A of t

Question

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## Answers ( )

GIVEN:TO FIND :SOLUTION :Let the radius, height and slant height of the cone be the r cm, h cm and l cm respectively.

r = 3.5 cm

h = ( 15.5 – 3.5 ) = 12 cm

➨ l =

➨ l =

➨ l =

➨

So,

➨ TSA of the toy = 2πr² + πrl

➨ TSA of the toy = 2π(3.5)² + π(3.5)(12.5)

➨ TSA of the toy = 24.5π + 43.7π

➨ TSA of the toy = 68.25π

➨ TSA of the toy = 68.25 × 22/7

➨TSAof the toy = 214.5 cm²Therefore,

TSA of toy is 214.5 cm².## SOLUTION :-

Radius of cone = Radius of hemisphere = 3.5cm

Height of conical part = 15.5 – 3.5 = 12cm

Slant height = √(r² + h²) = 15/2cm

Now,C.S.A=C.S.Aofconicalpart=C.s.aofhemisphereC.S.A=πrl+2πr²C.S.A=214.5cm²