Question

The slant height of the cone is 8 cm and it's radius is 17cm. Find it's height *​

Answer 1

Answer:

$\sf\: let \: the \: height \: be \: x. \\ \\ \sf \: ACQ, \\ \\ \: \therefore\bf \: \implies {x}^{2} = {17}^{2} - {8}^{2} \\ \\ \bf \implies {x}^{2} = (17 + 8)(17 - 8)[( {a - b})^{2} ] = (a + b)(a - b) \\ \\ \bf \implies {x}^{2} = 25 \times 9 \\ \\ \bf \: \implies {x}^{2} = 225 \\ \\ \bf \implies \: x = \sqrt{225} = 15 \: cm$