Question

A toy is in the form of cone of radius 3.5cm mounted on a hemisphere of the same radius. The total height of the toy is 15.5. Find the Total Surface Area of the toy.

Answer 1

Tsa of toy= pi.r.l +2pi.r2

L= root(h^2 +r^2)

L= 12.5 (On solving)

Putting values

22/7 ×7/2(12.5+(2×7/2) )

Gives= 11×19.5

=214.5

Answer 2

total height of toy = height of cone + radius of hemisphere = 15.5 cm

height of cone = 15.5 - 3.5 = 12cm

l² = h² + r²

l² = 144 + 12.25

l² = 15625/100

l² = 25*25*5*5/10*10

l = 12.5cm

CSA OF CONE + CSA OF HEMISPHERE = TSA OF TOY

πrl + 2πr²

πr( l + 2r )

22/7 * 3.5 ( 12.5 + 7 )

22 * 0.5 * (19.5)

214.5 cm² ⇒ ANS.