Math, asked by njana4360, 11 months ago

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

Answers

Answered by mitajoshi11051976
3

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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