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Question

Question 28

If R is the radius of the base of the hat, then the total outer surface area of the hat is

a) πr(2h+R)
b) 2πr(h+R)
c) 2πrh+πR2
d) None of these


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Solution

Given, a cylindrical hat with base radius R and r is the radius of the top surface.
Now, total surface area of hat = Curved surface area + Top surface area + Base surface area
=2πrh+πr2+π(R2r2)=2πrh+πr2+πR2πr2=2πrh+πR2


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