Question

3 solid sphere od diameter 2,12,16 cm each are meleted and made in to one solid sphere. find the raidus of the new sphere​

Answer 1

Ans:

we know,

the volume of a solid sphere=4/3$\pi$r^3

Step-by-step explanation:

4/3$\pi$2^3+4/3$\pi$12^3+4/3$\pi$16^3=4/3$\pi$r^3

or,4/3$\pi$(2+12+16)=4/3$\pi$r^3

or,30=r^3 {cancelling 4/3$\pi$ from both sides}

or,r=$\sqrt[3]{30}$ (ans.)