Question

He ratio of the volume of two sphere are 27: 64, find ratio of their radius ?) *

Answer 1

Answer:

3:4

We have

volume of sphere=pi*r^(3)

ratio of radius=(volume ratio)^(1/3)

Answer 2

Question

Ratio of the volume of two sphere are 27: 64, find ratio of their radius ?

Solution

Given:-

• Ratio of the volume of two sphere are 27: 64

Find:-

• Ratio of their radius .

Explanation

Let,

• Radius of first sphere = r
• Radius of second sphere = r'

☛ Volume of first sphere V= 4/3.(π).(r³)

☛ Volume of second sphere V'= 4/3.(π).(r'³)

A/c to question,

(Ratio of the volume of two sphere are 27: 64)

➛ V : V' = 27:64

➛ [4/3(π).(r³) ] : [ 4/3.(π).(r'³)] = 27:64

➛ [4/3(π).(r³) ] / [ 4/3.(π).(r'³)] = 27/64

➛ r³/r'³ = 27/64

➛ r/r' = (27/64)^(1/3)

➛ r/r' = (3/4)^(3*1/3)

➛ r/r' = 3/4

➛ r : r' = 3 : 4

Hence

• Ratio of their radius will be = 3:4

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