A toy is in the form of a cone of radius 3.5cm mounted on a hemisphere of same radius. The total height of the toy is 15.5cm find the total surface area of the toy
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We have,
Radius of cone = Radius of hemisphere = 3.5 cm.
Height of the toy = 15.5 cm
To calculate the CSA of cone we have to find first the Slant Height of the cone :]
Slant Height = h² + r²
Slant Height = (15.5)² + (3.5)²
Slant Height = 12.25 + 144
Slant Height = 156.25 cm²
Slant Height = 12.5 cm
Now, we will calculate the TSA of the toy :
➳ TSA of toy = CSA of hemisphere + CSA of cone
➳ TSA of toy = 2πr² + πrl
➳ TSA of toy = 2π(3.5)² + π(3.5)(12.5)
➳ TSA of toy = 24.5π + 43.75π
➳ TSA of toy = 68.25π
➳ TSA of toy = 68.25 * 22/7
➳ TSA of toy = 214.5 cm²
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