(Q9).A joker’s cap is in the form of right circular cone whose base radius is 7 cm and height is 24 cm. Find the area of the sheet required to make 10 such caps.

7cm24cm

Radius of the cap (r) = cm

Height of the cap (h) = cm

Slant height of the cap (l) = √(r2 + h2)

= √(2 + 2)

= √(+)

= √

=

∴ l = 25 cm.

Lateral surface area of the cap = Cone = πrl

L.S.A. =
× × = cm 2.

∴ Area of the sheet required for 10 caps = × = cm2