Question

volume and surface area of a solid hemisphere are numerically equal. what is the diameter of a hemisphere ?

Answer 1

we know that


2pi r=2/3 pi r3
so r will be cancel from r3 which will remain r2

then 2 will cancel from 2 then 1/3 remain
so pi will also cancel fron pi
there will be only
1=
$r ^{2} \frac{1}{3}$
now 3=r2
so r=
$\sqrt{3}$

so your diameter will be
$2 \sqrt{3}$

Answer 2

This is the correct method to solve the answer. Please be careful with formulae.