Question

curved surfac area of a cone is 251.2cm and radius of its base is 8cm .find height and perpandicular height .

Answer 1

$curved \: surface \: area \\ = \pi \times radius \times slant \: height \\ slant \: height = \frac{251.2}{\pi \times 8} = 10 \: cm \\ \\ perpendicular \: height \\ = \sqrt{ {10}^{2} - {8}^{2} } = 6 \: cm$

Answer 2

$curved \: surface \: area \\ = \pi \times radius \times slant \: height \\ slant \: height = \frac{251.2}{\pi \times 8} = 10 \: cm \\ \\ perpendicular \: height \\ = \sqrt{ {10}^{2} - {8}^{2} } = 6 \: cm$