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The Volume of a Sphere is 4851 Cm3. Find Its Curved Surface Area. - Mathematics

Sum

The volume of a sphere is 4851 cm3. Find its curved surface area.

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Solution

Let the radius of the sphere be r.

As,

Volume of the sphere = 4851 cm

`=> 4/3pi"r"^3 = 4851`

`=> 4/3xx22/7xx"r"^3 = 4851`

`=> "r"^3=4851xx(3xx7)/(4xx22)`

`=>"r"^3 = 9261/8`

`=r=root(3)(9261/8)`

`=>r =21/2 "cm"`

Now,

Curved surface area of the sphere = 4πr2

`=4xx22/7xx21/2xx21/2`

= 1386 cm2

So, the curved surface area of the sphere is 1386 cm2.

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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Exercise | Q 14 | Page 915
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