Question

volume and surface area of solid hemisphere is numerically eqaul what is it's diameter

Answer 1

we know,

volume of solid hemisphere =
$\frac{2}{3} \pi \: {r}^{3}$
and,

surface area of this hemisphere will be =
$3\pi {r}^{2}$

A/Q,

$3\pi {r}^{2} = \frac{2}{3} \pi {r}^{3} \\ = > r = \frac{9}{2 } \\ = > d = 2 \times r \\ = > d = 2 \times \frac{9}{2} = 9$

Thus, diameter = 9 units.



Regards

KSHITIJ