Mathematics · 2022
JEE Main · 26 June 2022, Shift 2 · Q6
Cosider a cuboid of sides 2 x, 4 x and 5 x and a closed hemisphere of radius r. If the sum of their surface areas is a constant k, then the ratio x:…
Cosider a cuboid of sides $\displaystyle 2 x, 4 x$ and $\displaystyle 5 x$ and a closed hemisphere of radius $\displaystyle r$. If the sum of their surface areas is a constant $\displaystyle k$, then the ratio $\displaystyle x: r$, for which the sum of their volumes is maximum, is :
Official answer
(2)
$\displaystyle 19$:$\displaystyle 45$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.