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.
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3
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
Answered by
5
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.
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