To find the diameter of the tank, we first need to calculate the radius of the spherical tank using the formula for the volume of a sphere:
V = (4/3) * π * r^3
Given that the volume of the water in the tank is 7,500 ft^3, we can plug this value into the formula and solve for the radius:
7,500 = (4/3) * π * r^3
r^3 = (3/4) * (7,500 / π)
r = (3/4 * 7,500 / π)^(1/3)
r ≈ 9.67 ft
Once we have the radius of the tank, we can find the diameter by multiplying the radius by 2:
Diameter = 2 * radius
Diameter = 2 * 9.67 ft
Diameter ≈ 19.34 ft
Therefore, the diameter of the tank is approximately 19.34 feet.
A spherical water tank holds 7,500 ft cubed of water. What is the diameter of the tank?
1 answer