A cylinder has a diameter of 3/4 meter. Its approximate volume is 1 cubic meter. Enter the height of the cylinder in meters. Round your answer to the nearest hundredth.
Please answer quickly and dont send links to external websites! 20 points!
v = πr^2 h
so
π*(3/8)^2 * h = 1
h = 64/(9π) = ____
To find the height of the cylinder, we first need to use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the diameter of the cylinder is 3/4 meter, we can find the radius by dividing the diameter by 2: r = (3/4) / 2 = 3/8 = 0.375 meters.
Next, we substitute the known values into the volume formula: 1 = π(0.375)^2h.
To solve for h, we rearrange the equation: h = 1 / (π(0.375)^2).
Calculating the value, we have: h ≈ 1 / (3.1416 * 0.375^2) ≈ 1 / 0.441 = 2.267 meters (rounded to the nearest hundredth).
Therefore, the height of the cylinder is approximately 2.27 meters.