Question

The total surface of a cone is 704 cm square .the radius of the base is 7 cm find the curved surface area of the cone

Answer 1

Answer is ${550cm}^{2}$

Step by step explanation :-

Total surface area of cone = ${\pi r(l+r)}$

$704 = \pi r(l + r) \\ \\ 704 = \frac{22}{7} \times 7(l + 7) \\ \\ 704 = 22l + 154 \\ \\ 22l = 704 - 154 \\ \\ l = \frac{550}{22} = 25 \: cm$

Curved surface area =${\pi rl}$

$= \pi rl \\ \\ = \frac{22}{7} \times 7 \times 25 \\ \\ = 22 \times 25 \\ \\ = 550 {cm}^{2}$

Curved surface area = $</strong><strong>\</strong><strong>c</strong><strong>o</strong><strong>l</strong><strong>o</strong><strong>r</strong><strong>{</strong><strong>Red</strong><strong>}</strong><strong>{</strong><strong>5</strong><strong>5</strong><strong>0</strong><strong>c</strong><strong>m</strong><strong>}</strong><strong>^</strong><strong>{</strong><strong>2</strong><strong>}</strong><strong>$

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