a solid sphere and a solid hemisphere have the same total surface area. The ratio of their volumes is (take,
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36
Answer:
Ratio of their volume = 3√3 / 8 = 0.65
Step-by-step explanation:
Surface Area of Sphere = 4πR²
Surface Area of Solid Hemi Sphere = 2πr² + πr² = 3πr²
4πR² = 3πr²
=> R = √3r/2
Volume of Solid Sphere = (4/3)π R³ = (4/3)π (√3r/2)³
= (4/3)πr³ ( 3√3 / 8)
=> Volume of Solid Sphere = Volume of Solid Hemi Sphere * ( 3√3 / 8)
=> Ratio of their volume = 3√3 / 8 = 0.65
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