A cylinder has a volume of 885 cubic feet. If the height of the cylinder is 11.7 feet, what is the radius of the cylinder un 3.14 for π and round to the nearest hundredth.
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. We are given the volume and height, so we can substitute those values to solve for the radius:
885 = πr^2(11.7)
Divide both sides by (π × 11.7):
885 / (π × 11.7) = r^2
Simplify:
r^2 = 21.97
Take the square root of both sides:
r ≈ 4.69
Therefore, the radius of the cylinder is approximately 4.69 feet when rounded to the nearest hundredth.
thank you
You're welcome! If you have any more questions, feel free to ask.
To find the radius of a cylinder, we need to use the formula for the volume of a cylinder, which is:
V = π * r^2 * h
Where:
V is the volume of the cylinder
π is the mathematical constant approximately equal to 3.14
r is the radius of the cylinder
h is the height of the cylinder
Given that the volume of the cylinder is 885 cubic feet and the height is 11.7 feet, we can rearrange the formula and solve for the radius:
885 = 3.14 * r^2 * 11.7
To solve this equation for r, we can start by dividing both sides by (3.14 * 11.7):
885 / (3.14 * 11.7) = r^2
Now we can calculate the right side of the equation:
r^2 = 25.95
To find the value of r, we take the square root of both sides:
r = √25.95
Using a calculator, we find that the square root of 25.95 is approximately 5.09.
Therefore, the radius of the cylinder, rounded to the nearest hundredth, is 5.09 feet.