The volume of a cylinder is 1256 meters. The height is 13 meters. Diameter is x. What is the diameter?
Volume of cylinder, 1256 m³
= πd²h/4
h=13, π=3.14159, solve for d.
Idg how to to do x squared
d² is the same as d*d, or d multiplied by itself.
so
πd²h/4=1256
multiply by 4 on each side,
πd²h = 5024
divide by πh on each side:
d²=5024/(13π)=123
d=√(123)=11 metres.
To find the diameter of a cylinder, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h
Where:
Volume is the given volume of the cylinder (1256 m^3)
π is a mathematical constant approximately equal to 3.14159
r is the radius of the cylinder
h is the height of the cylinder (13 m in this case)
Since the diameter (d) is twice the radius (r), we can use the relationship between diameter and radius: d = 2 * r.
Let's rearrange the formula to solve for the radius (r) first:
Volume = π * r^2 * h
1256 = π * r^2 * 13
Next, let's solve for the radius:
r^2 = 1256 / (π * 13)
r = sqrt(1256 / (π * 13))
Now, we can find the diameter (d) by multiplying the radius (r) by 2:
d = 2 * r
Therefore, to calculate the diameter, substitute the value of r into the formula:
d = 2 * sqrt(1256 / (π * 13))
Using a calculator, you can find the approximate value of the diameter according to these calculations.