Find the volume of a sphere whose surface area is 154cm square
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Hi ,
Let radius of the Sphere = r cm
Surface area ( A ) = 154cm²
4πr² = 154
4 × ( 22/7 ) × r² = 154
r² = ( 154 × 7 ) / (22 × 4 )
= 49/4
r = √( 7² / 2² )
r = 7/2 cm
Volume of the Sphere = ( 4/3 ) × π r³
V = ( 4/3 ) × ( 22/7 ) × ( 7/2 )³
= ( 4 × 22 × 7 × 7 × 7 )/( 3×7×2×2×2)
= 539/3
≈ 179.6 cm³
I hope this helps you.
:)
Let radius of the Sphere = r cm
Surface area ( A ) = 154cm²
4πr² = 154
4 × ( 22/7 ) × r² = 154
r² = ( 154 × 7 ) / (22 × 4 )
= 49/4
r = √( 7² / 2² )
r = 7/2 cm
Volume of the Sphere = ( 4/3 ) × π r³
V = ( 4/3 ) × ( 22/7 ) × ( 7/2 )³
= ( 4 × 22 × 7 × 7 × 7 )/( 3×7×2×2×2)
= 539/3
≈ 179.6 cm³
I hope this helps you.
:)
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