The ratio of the volumes of two spheres is 27: 64. If the sum of their raddi are 28 cm. What is the radius each of them respectively? (1) 12 cm, 16 cm (2) 13 cm, 15 cm (3) 14 cm, 18 cm (4) 8 cm, 10 cm
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The volumes of two spheres are in the ratio 27:64. Find their radii if the sum of their radii is 28 cm.
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Correct option is A)
Volume of a sphere =
3
4
πr
3
Given, ratio of their volumes is: V
1
:V
2
=27:64
3
4
πr
1
3
:
3
4
πr
3
2
h=27:64
r
1
3
:r
2
3
=27:64
=>r
1
:r
2
=3:4
Let >r
1
=3a;r
2
=4a
Given, r
1
+r
2
=28
=>3a+4a=28
7a=28
a=4
3a=12cm;4a=16cm
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A) is the correct answer of this question
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