Question

9. Fifteen solid spheres of the same size are made by melting a solid metallic cylinder of base

diameter 2cm and height 20cm.Find the diameter of each sphere?
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Answer 1

Step-by-step explanation:

diameter of cylinder d = 2cm

radius of cylinder r = 1cm

height of cylinder h = 20cm

diameter of sphere D =?

vol of cylinder = 15× vol of sphere

π r^2 h = 15 × 4/3πR^3

pi cancels out

1×1×20 = 15× 4/3×R^3

20 = 20 R^3

R^3 = 1

R = 1

Diameter D = 1/2cm Or 0.5cm