# A fez, the cap us

Given: Radius of lower circular end = R = 10 cm

Radius of upper circular end = r = 4 cm

Slant height = l = 15cm

Formula: Total surface area of frustum = πr2 + πR2 + π(R + r)l cm2

As the lower circular end is open we need to subtract the area of lower circular end from total surface area since we don’t require material for lower circular end it should be open so that it is wearable.

Total surface area = πr2 + πR2 + π(R + r)l- πR2 cm2

= (22/7) × (42 + (10 + 4) × 15) cm2

= (22/7) × (16 + 210) cm2

= 22 × 226/7 cm2

= 710.285 cm2

total surface area = 710.285 cm2

Area of material used = 710.285 cm2

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