Question

A glass cone of 16.8 cm height and 8.4 cm is the diameter of the base melted to form a sphere.
Find the radius of sphere formed.​

Answer 1

Step-by-step explanation:

Cone:

h= 16.8cm

d= 8.4 cm

r= 4.2cm

Volume of glass cone= Volume of sphere

$\frac{1}{3}\pi r^{2}h=\frac{4}{3}\pi R^{3}$  (R be radius of sphere)

$\frac{1}{3}*\frac{22}{7}* 4.2* 4.2* 16.8 = \frac{4}{3}\pi R^{3}$

$R^{3}= \frac{4.2*4.2*5.6*3}{4}$

R=$\sqrt[3]{74.008}$

R= 0.0419 cm (approximately)

Therefore, radius of the sphere formed is 0.0419cm/0.042cm