Your friend’s cap is in the shape of a right circular cone of base radius 14 cm and height 26.5 cm. The approximate area of the sheet required to make 7 such caps is
Explanation:
Let the base radius, height, slant height be r, h and l respectively.
r = 14 cm
h = 26.5 cm
∴ l = r2+h2
∴ l = 29.97 cm ≈ 30 cm
To make a conical cap from a sheet of paper, the curved surface area of cap must be calculated.
Curved surface area = π × r × l
To calculate the area of the sheet required to make 7 caps,
total area = 7 × π × r × l = 7 × 227 × 14 × 3
= 9240 sq.cm.
Hence, option (d).
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