A spherical tank has a radius of 60 centimeter. Find the maximum volume of water the tank can hold.
V=4/3πr3
V = (4/3) * 3.14 * 60^3
V = 1.3333 * 3.14 * 216,000
V = 904,093.92 cubic centimeters
To find the maximum volume of water that a spherical tank can hold, we need to calculate the volume of the sphere.
The volume of a sphere is given by the formula:
V = (4/3) * π * r^3
Here, V represents the volume, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the sphere.
Given that the radius of the tank is 60 centimeters, we substitute this value into the formula:
V = (4/3) * π * (60^3)
Now, we can calculate the maximum volume of water the tank can hold using a calculator:
V ≈ (4/3) * 3.14159 * 216,000
Simplifying the equation further:
V ≈ 904,778.6844
Therefore, the maximum volume of water the tank can hold is approximately 904,778.6844 cubic centimeters.