# For a sphere of radius 10 cm, what would be the ratio of numerical value of surface area to numerical value of volume?

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by elineSurik

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by elineSurik

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Radius (r) = 10 cm

Required to find : The ratio of the surface area to the volume

⇒4πr² : 4/3 πr³

⇒4 × (22/7) ×10cm ×10cm : (4/3)×(22/7)×10cm×10cm×10cm

⇒8800/7 : 88000/21

⇒1257.14 : 4190.4

∴The ratio is

1257.14 : 4190.4

after cancellation of 4π r² on both sides,

1:r/3

=3:10

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