Question

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm.
Find the height of the cylinder.

{ALIGARH MUSLIM UNIVERSITY BOARD OF SECONDARY AND SENIOR SECONDARY EDUCATION, SAMPLE PAPER}

Answer 1

.................................

Answer 2

HEYA!!!!!

Given,

radius of sphere = 4.2 cm

radius of cylinder = 6 cm

Here, sphere recasted into cylinder.

ATP,

Volume of sphere= volume of cylinder

$\frac{4}{3} \pi \: {r}^{3} h \: = \: \ \pi \: {r}^{2} h$

$\frac{4}{3} \times {4.2}^{3} = \: {6}^{2} \times h$

4/3 × 4.2×4.2×4.2 = 36× h

4 × 1.4 × 4.2 × 4.2 = 36 ×h

4 × 5.88 × 4.2 = 36 × h

16.8 × 5.88 = 36 × h

98.784 = 36× h

h = 98.7 / 36

h = 2.774cm

----------☆☆☆☆☆------

HOPE THIS HELPS U.