Question

The slant height of a cone is increased by p% if radius remains same the curved surface area is increased by

Answer 1

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Answer 2

The surface area of the cone is increased by p%.

Let the slant height of the cone be l and it's radius be equal to r.

Initial curved surface area = πrl

When slant height is increased by p% , new slant height (l') = l + l×p/100 = l (1+0.01p)

New curved surface area of the cone =

πr(l (1+0.01p))

Increase in the curved surface area of the cone = πrl(1+0.01p-1)

=> 0.01p πrl

% increase = (0.01p πrl/πrl) × 100 = p%