Question

(c) Find the radius of that sphere, which is made by melting of three spheres of radii 6
cm , 8cm and 10 cm respectively.
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Answer 1

Step-by-step explanation:

r1 = 6cm r2 = 8cm r3 = 10cm

Volume of sphere = 43πr343πr3

Volume of the resulting sphere = Sum of the volumes of the smaller spheres.

43πr343πr3 = 43π(r1)343π(r1)3 + 43π(r2)343π(r2)3 + 43π(r3)343π(r3)3

43πr343πr3 = 43π((r1)3+(r2)3+(r3)3)43π((r1)3+(r2)3+(r3)3) r3 = 63 + 83 + 103 r3 = 1728 r = 1728−−−−√317283 r = 12 cm

Therefore, the radius of the resulting sphere is 12 cm.

Answer 2

Step-by-step explanation:

6^3+8^3+10^3=64+512+1000=✓1576=11.5 is the answer