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Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere is

(A) 4 cm
(B) 3 cm
(C) 2 cm
(D) 6 cm

Answers (1)


Answer(C) 2 cm


Diameter of metallic cylinder = 2 cm
Radius =\frac{2}{2}=1cm
Height = 16cm
Volume =\pi r ^{2}h
             =\pi \times 1 \times 1 \times 16= 16\pi
We know that twelve solid spheres are made by melting of solid metallic cylinder 
           \text{Volume of sphere} =\frac{4}{3}\pi r^{3}
\text{Hence the volume of 12 spheres }=16\pi

        12\times \frac{4}{3}\pi r^{3}=16\pi
        16\pi r^{3}=16\pi
    Radius = 1 cm
    Diameter =2\times 1=2cm

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