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The Surface Area of a Sphere is 154 Cm2. the Volume of the Sphere is - Mathematics

MCQ

The surface area of a sphere is 154 cm2. The volume of the sphere is

Options

  • `"179"2/3 "cm"^3`

  • `"359"1/3"cm"^3`

  • `"1437"1/3"cm"^3`

  • None of these

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Solution

`"179"2/3"cm"^3`

surface area of a sphere = 4πr

Therefore,

4πr= 154

`=> 4xx22/7xx"r"^2 = 154`

`=> "r"^2 = (154xx7/88)`

`=> "r"^2 = 49/4`

`=> "r"^2 = (7/2)^2`

`=> r = 7/2 "cm"`

Volume of the sphere `=4/3pi"r"^3`

`= "Volume of the sphere" = 4/3 pi"r"^3`

`= 539/3 "cm"^3`

`= 179 2/3 "cm"^2`

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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 69 | Page 924
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