If the radius of hemisphere is half the radius of sphere then find the

1.	If the radius of hemisphere is half the radius of sphere then find the ratio of volume of sphere to that of a hemisphere.1. 1 : 32. 4 : 73. 16 : 14. 8 : 1
Answer» Correct Answer - Option 3 : 16 : 1 Given: Radius of hemisphere = Radius of sphere/2 Formula used: Volume of sphere = 4/3 × π × (radius)³ Volume of hemisphere = 2/3 × π × (radius)³ Calculation: Let the radius of sphere is r cm So, radius of hemisphere = r/2 cm Now, Volume of sphere/Volume of hemisphere = [(4/3)πr³]/[(2/3)π(r/2)³] ⇒ 2/(1/8) ⇒ 16 : 1

If the radius of hemisphere is half the radius of sphere then find the ratio of volume of sphere to that of a hemisphere.1. 1 : 32. 4 : 73. 16 : 14. 8 : 1

Answer» Correct Answer - Option 3 : 16 : 1

Given:

Radius of hemisphere = Radius of sphere/2

Formula used:

Volume of sphere = 4/3 × π × (radius)³

Volume of hemisphere = 2/3 × π × (radius)³

Calculation:

Let the radius of sphere is r cm

So, radius of hemisphere = r/2 cm

Now,

Volume of sphere/Volume of hemisphere = [(4/3)πr³]/[(2/3)π(r/2)³]

⇒ 2/(1/8)

⇒ 16 : 1

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