Question

a sphere which daimeter is 10cm and melting it to make the small pill which radius is .5cm how many pills will you made in it
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Answer 1

Step-by-step explanation:

Volume of sum of all small spheres=Volume of big sphere

Volume of one small sphere= 34πr 3 = 34

π(10) 3 =1000 34π

Volume of all 8 small spheres=8×1000× 34π (1)

Let radius of big sphere be R

Volume of big sphere= 34 πR 3 (2)

Equating (1) and (2)

8×1000× 34π = 34 πR 38000=R 3

R=20cm

Surface Area of sphere=4πR 2

=4π×10×10=4×314=1256cm 3

Hence surface area of sphere=1256cm

3