Question

What is the diameter of a hemisphere with a volume of 60570

Answer 1

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:

`V = (2)/(3) \pi r^3`

Where, "r" is the radius of hemisphere

Substituting the values we get,

`60570 = (2)/(3) * 3.14 * r^3\\\\60570 = 2.093 * r^3\\\\r^3 = (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`

We know diameter is twice of radius

`Diameter = 2 * radius\\\\Diameter = 2 * 30.7\\\\Diameter = 61.4`

Thus diameter of hemisphere is 61.4 units