Question

a toy is in the form of a cone of radius 3.5cm mounted on a hemisphere of same radius. if total height is 15.5cm find total surface area .(can be write -tsa of hemisphere +csa of cone)​

Answer 1

Radius of cone = Radius of hemisphere = 3.5cm

Height of cone = 15.5-3.5 = 12cm
l = Root of (h square + r square)
= Root of 156.25 = 12.5cm

CSA of cone = πrl = 22/7 * 3.5 * 12.5 = 137.5
CSA of hemisphere = 2πr^2 = 2*22/7*3.5*3.5
= 77

Therefore the TSA of the toy = 137.5+77 TSA = 214.5

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