A cylinder has a volume of 83 in3 and is 10 in. tall. What is the radius of the cylinder in inches?
V = π r^2 h
Insert the values and solve for r.
To find the radius of the cylinder, we can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
where:
- Volume is the given volume of the cylinder
- π is a mathematical constant approximately equal to 3.14159
- r is the radius of the cylinder
- h is the height of the cylinder
In this case, we have:
Volume = 83 in^3
Height (h) = 10 in
Let's plug in the given values into the formula and solve for r:
83 = π * r^2 * 10
To isolate r, we can divide both sides of the equation by (π * 10):
83 / (π * 10) = r^2
To find the square root of both sides and calculate r, we need to know the value of π. Let's assume it is approximately 3.14159:
83 / (3.14159 * 10) = r^2
r^2 ≈ 2.64225
Taking the square root of both sides:
r ≈ √2.64225
r ≈ 1.625
Therefore, the radius of the cylinder is approximately 1.625 inches.