During the battle of Turks against the Rajputs of India, the Turk soldiers wore a costume with a metallic shield-like knee pads, buckler (elbow shield) and cap to save themselves from injuries. The headgear cap (a fez) used by these soldiers is shaped like the frustum of a cone with its radius on the open side 10 cm, and radius at the upper base as 4 cm and its slant height as 15 cm. By using the above information, find the following:
Answers
Answer:
710.28 cm² or 4972/7 cm²
Step-by-step explanation:
Given,
r1 = Radius of lower base = 10 cm
r2 = Radius of upper base = 4 cm
l = Slant height = 15 cm
Since, the fez is in the form of frustum & is covered from upper side.
nce, the fez is in the form of frustum & is covered from upper side.Area of material used to make fez = CSA (Curved Surface Area) of frustum + Area of the circle portion of upper side
= π (r1 + r2) l + π (r2)²
Area of the material = π (r1 + r2) l + π (r2)²
= π (4 + 10) × 15 + π (4)²
= π × 14 × 15 + π × 4 × 4
= π × 210 + π × 16
= π (210 + 16)
= π × 226
= 22/7 × 226
= 4972/7cm² or 710.28 cm² or 710 2/7 cm²(in mixed fraction).
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