Question

volume of a hemisphere is 2094 find the radius​

Answer 1

ANSWER

VOLUME OF HEMISPHERE = 2094

2/3 π (r×r×r) = 2094

2/3 × 22/7 × r×r×r = 2094

r × r × r = 2094 × 21 / 44

r × r × r = 1000

r = 10

Answer 2

Solution :-

Volume of a hemisphere = 2094 cu.units

Also, Volume of a hemisphere = 2/3 * πr³ cu.units

$\implies \dfrac{2}{3} \pi r^{3} = 2094$

$\implies \dfrac{2}{3} \times \dfrac{22}{7} \times r^{3} = 2094$

$\implies r^{3} = 2094 \times \dfrac{21}{44}$

$\implies r^{3} = \dfrac{43974}{44}$

$\implies r^{3} = 1000 \qquad \{approx \}$

$\implies r= \sqrt[3]{1000} = 10$

Hence, the radius of the hemisphere is 10 units.