# 12 Spheres of the Same Size Are Made from Melting a Solid Cylinder of 16 Cm Diameter and 2 Cm Height. the Diameter of Each Sphere is - Mathematics

MCQ

12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is

#### Options

• $\sqrt{3}$ cm

• 2cm

• 3cm

• 4cm

#### Solution

The volume of solid cylinder = 12 × volume of one sphere

pi xx (8)^2 xx 2 = 12 xx 4/3 pi r^3

128=16r^3

r^3 = 128/16

r = 3sqrt(64/8)

=4/2

r = 2 cm

The required diameter d = 2 × 2 = 4 cm

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Q 25 | Page 90