Question

3. A metallic solid sphere of radius 9 cm is melted to form a solid cylinder
of radius 9 cm. The height of the cylinder is
(a) 12 cm
(b) 18 cm (c) 36 cm
(d) 96 cm​

Answer 1

Answer will be (a) 12 cm.

Refer to the attachment given.

Answer 2

Answer:

option (a)

Step-by-step explanation:

when the solid sphere is melted to form solid cylinder,

volume remains the same.

radius of sphere = radius of cylinder = r = 9 cm

=> volume of solid sphere = volume of solid cylinder

 $\frac{4}{3} \pi (r)^{3} = \pi (r^{2})(h) \\\\ => \frac{4}{3} (9)^{3} = (9^{2})(h)\\\\=> \frac{4}{3} (9) = h \\\\=> 4(3) = h\\\\=> h = 12 \ cm$