a face the cap used by Tuk is a shaped like a frustum if its radius on the open side is 10 cm radius at the upper base is 4 cm and its slant height is 15 cm find the area of material used for making it
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Since the cap is in form of frustum and is covered from upper side.
Area of material used to make cap
= curved surface area of frustum + Area of circle proportion of upper side
= π(r1 + r2)l π(r2)^2
here
r1 = radius on lower base= 10 cm
r2= radius of upper base= 4 cm
l = slant height = 15 cm
Area of material:
= π(r1 + r2)l π(r2)^2
= π( 4 + 10)15+π(4)^2
= π multiply by 14 multiply by 15 + π multiply by 16
= π(210 + 16)
= π(226)
= 4972/7
=710 2/7 cm^2
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