Question

The radius and slant height of a cone are is the ratio of 3:5.if its curved surface area is 2310 cm sq
Find its radius and slant height

Answer 1

Answer :-

$</strong>{ CSA = \pi rl}<strong>$

$\pi rl = 2310 \\ \\ \frac{22}{7} rl = 2310 \\ \\ rl = \frac{2310 \times 7}{22} = 735$

Ratio of them is 3:5

$3x \times 5x = 735 \\ \\ 15 {x}^{2} = 735 \\ \\ {x}^{2} = \frac{735}{15} = 49 \\ \\ x = \sqrt{49} = 7$

Than,

radius = 3x = $</strong><strong>\</strong><strong>c</strong><strong>o</strong><strong>l</strong><strong>o</strong><strong>r</strong><strong>{</strong><strong>Red</strong><strong>}</strong><strong>{</strong><strong>2</strong><strong>1</strong><strong> </strong><strong>cm</strong><strong>}</strong><strong>$

slant height = 5x = $\color{Red}{</strong><strong>3</strong><strong>5</strong><strong> cm}$

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