The ratio of the volumes of two spheres is 27 : 64. If the sum of there radii are 28 cm, what is the radius of each of them respectively?
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Answered by
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Let :
- Radius of first sphere = r
- Radius of second sphere = R
Given :
- Ratio of volume of two spheres = 27:64
- Sum of radius of two spheres = 28 cm
To find :
Radius of each sphere
Formula used :
Volume of sphere = (4/3) π (radius)³
Solution :
Volume of first sphere = (4/3)π r³
Volume of second sphere = (4/3)π R³
Volume of first sphere : Volume of second sphere = (4/3)π r³ : (4/3)π R³
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Sum of radius = r + R
➝ r + R = 28cm
On putting value of r from equation 1 into above equation we get
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Now ,
r = (3/4)R
r = (3/4) × 16
r = 48/4
r = 12 cm
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ANSWER :
- Radius of first sphere (r) = 12 cm
- Radius of second sphere (R) = 16cm
Answered by
30
Question :
The ratio of the volumes of two spheres is 27 : 64. If the sum of there radii are 28 cm, what is the radius of each of them respectively?
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Given :
- Volume of 2 spheres = 27:64
- Sum of there radii = 28cm.
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To find :
- Radius of each sphere.
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Solution:
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