a solid right circular cylinder with radius 6 cms and height of 8 cms has the same volume as a sphere . find the surface area of the sphere.
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Answer:
144π cm²
Concept used :
Volume of cylinder = π × r² × h
Volume of sphere = 4/3 × π × r³
Surface area of Sphere = 4× π × r²
Step-by-step explanation:
Let the radius of sphere be r,
So, according to question,
π × (6)² × 8 = 4/3 × π × r³
=> r³ = 36 × 2 × 3
=> r = ∛216 = 6 cm
=> Surface area of sphere = 4 × π × (6)² = 144π cm² = 452.16 cm²
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