Question

a metallic solid sphere of radius 4.2cm is melted and recast into the shape of solid cyclinder of radius 6 cm. find the height of cyclinder

Answer 1

Hope it can help u..!

Answer 2

radius of hemisphere (r1) = 4.2 cm
radius of cylinder (r2) = 6 cm
the height be h.
volume of sphere = volume of cylinder
$\frac{4}{3}$ π1³ = πr2² h
$\frac{4}{3}$ π(4.2)³ = π (6)² h
$\frac{4}{3}$ × $\frac{4.2 * 4.2 * 4.2}{36}$ = h
h = (1.4)³ = 2.74 cm.

hence the height of cylinder is 2.74 cm

thanks