The diameter of hemisphere is 61.4 units
Solution:
Given that, volume of hemisphere is 60570 cubic units
To find: Diameter of hemisphere
The formula for volume of hemisphere is given as:
[tex]V = \frac{2}{3} \pi r^3[/tex]
Where, "r" is the radius of hemisphere
Substituting the values we get,
[tex]60570 = \frac{2}{3} \times 3.14 \times r^3\\\\60570 = 2.093 \times r^3\\\\r^3 = \frac{60570}{2.093}\\\\r^3 = 28939.32\\\\\text{Take cube root on both sides }\\\\r = \sqrt[3]{28939.32} \\\\r = 30.7017248 \approx 30.7[/tex]
We know diameter is twice of radius
[tex]Diameter = 2 \times radius\\\\Diameter = 2 \times 30.7\\\\Diameter = 61.4[/tex]
Thus diameter of hemisphere is 61.4 units
