Calculate the length of a solid cylinder of diameter 7.3cm and volume 435cm^2
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height (or length) of the cylinder.
Given that the diameter of the solid cylinder is 7.3cm, we can find the radius by dividing the diameter by 2:
r = 7.3cm / 2 = 3.65cm
We are also given that the volume of the cylinder is 435cm^2.
Substituting the values into the formula for volume, we get:
435cm^2 = π(3.65cm)^2h
To find the height (or length) of the cylinder, we can rearrange the equation as follows:
h = 435cm^2 / (π(3.65cm)^2)
Calculating this expression gives:
h ≈ 435 / (π * 13.3225) ≈ 10.424 cm
Therefore, the length of the solid cylinder is approximately 10.424 cm.