If S be the curved surface area of a sphere and V be the volume of tha

1.	If S be the curved surface area of a sphere and V be the volume of that sphere, then the relation between V and S of the sphere will be1. 36πV2 = S32. 64πV2 = S33. 64πV2 = S24. 36πV2 = S2
Answer» Correct Answer - Option 1 : 36πV² = S³ Given: The curved surface area of sphere = S The volume of a sphere = V Formula used: The curved surface area of a sphere = 4π r² The volume of sphere = 4π r³/3 Calculations: V = 4π r3/3 S = 4π r² S³ = (4 πR²)³ = 64 π³ R⁶ Volume of Sphere = V = (4/3)πR³ V² = ((4/3)πR³)² = (16/9)π²R⁶ S³/V² = (64 π³ R⁶) /((16/9)π²R⁶) ⇒ S³/V² = 36π ∴ The relation between V and S of the sphere will be s³ = 36 π V²

If S be the curved surface area of a sphere and V be the volume of that sphere, then the relation between V and S of the sphere will be1. 36πV2 = S32. 64πV2 = S33. 64πV2 = S24. 36πV2 = S2

Answer» Correct Answer - Option 1 : 36πV² = S³

Given:

The curved surface area of sphere = S

The volume of a sphere = V

Formula used:

The curved surface area of a sphere = 4π r²

The volume of sphere = 4π r³/3

Calculations:

V = 4π r3/3

S = 4π r²

S³ = (4 πR²)³ = 64 π³ R⁶

Volume of Sphere = V = (4/3)πR³

V² = ((4/3)πR³)² = (16/9)π²R⁶

S³/V² = (64 π³ R⁶) /((16/9)π²R⁶)

⇒ S³/V² = 36π

∴ The relation between V and S of the sphere will be s³ = 36 π V²

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If S be the curved surface area of a sphere and V be the volume of that sphere, then the relation between V and S of the sphere will be1. 36πV2 = S32. 64πV2 = S33. 64πV2 = S24. 36πV2 = S2

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