A cylinder tank has a capacity of 3080cm cube. If its depth is 20cm, find its diameter.
Volume=2PI(Diameter/2)^2*depth
V= Diameter^2 * PI/2*depth
Diameter=sqrt(volume*2/(depth*PI)
To find the diameter of the cylinder tank, we can use the formula for the volume of a cylinder:
V = π * r² * h
Given:
Capacity (V) = 3080 cm³
Depth (h) = 20 cm
We need to rearrange the formula to solve for the radius (r):
V = π * r² * h
3080 = π * r² * 20
Divide both sides by (π * 20):
3080 / (π * 20) = r²
r² = 3080 / (π * 20)
To find the diameter, we can use the formula:
Diameter (d) = 2 * radius (r)
Now we substitute the value of r into the formula:
r² = 3080 / (π * 20)
r² ≈ 7.75
Taking the square root of both sides:
r ≈ √7.75
r ≈ 2.78
Now we find the diameter:
d = 2 * r
d ≈ 2 * 2.78
d ≈ 5.56
Hence, the approximate diameter of the cylinder tank is 5.56 cm.
To find the diameter of a cylinder tank, we can use the formula for the volume of a cylinder:
Volume = π * radius^2 * height.
Given that the depth (height) of the cylinder tank is 20 cm and the capacity (volume) is 3080 cm³, we can rearrange the formula to solve for the radius:
Volume = π * radius^2 * height
3080 = π * radius^2 * 20
To isolate the radius, we can divide both sides of the equation by π * 20:
3080 / (π * 20) = radius^2
To find the radius, calculate the right-hand side of the equation:
radius^2 = 3080 / (π * 20)
radius^2 ≈ 7.8
Taking the square root of both sides of the equation, we find:
radius ≈ √7.8
So, the approximate radius of the cylinder tank is √7.8 cm.
To find the diameter, multiply the radius by 2:
diameter = 2 * radius ≈ 2 * √7.8.
Therefore, the diameter of the cylinder tank is approximately 2 * √7.8 cm.