Tsa of sphere =4pi r^2
Tea of cube = 6a^2
Given tsa s are equal
⇒4/6 π r² = a²
Curbing on both sides we get
64/216 π³ r^6 =a^6. ...............(1)
Vol. of sphere= 4/3 π r³
Vol. of cube= a³
So to find ratio we div. both ,
⇒4/3 π r³ whole div by a³
Let's square the eq. As we know the value of a^6
⇒ 16/9 π² r^6 whole div. by a^6.
By sub . In here we get ,
16/9²πr^6 whole div by 64/216 π ³ r^6
After cancellation we get,
Remember we squared the ratio!
So now we sq. root to get back the real ratio,
We get here the Ratio of vol. of sphere to vol. of cube.....
Hope it helps ...
Scratched my brain so much. ☺️
Any doubt u can ask....