Question

metallic spheres of radii 6m, 8m, and 10m respectively are melted to form a single solid sphere. find the radius of the resulting sphere.

It is urgent so spammers plz stay away

Answer 1

Hope, you are able to understand my handwriting and what steps I have done.

Answer:

12m

Answer 2

Let the radius of resulting sphere be r cm

Then, the volume of the resulting sphere = Sum of the volumes of three sphere of radii 6cm,8cm and 10cm

$⇒ \frac{4}{3}\pi {r}^{3} = \frac{4}{3}\pi \times {6}^{3} + \frac{4}{3} \pi \times {8}^{3} + \frac{4}{3}\pi \times {10}^{3}$

$⇒ {r}^{3} = 216 + 512 + 1000$

$⇒ {r}^{3} = 1728$

$⇒ {r}^{3} = {12}^{3}$

∴ r = 12cm