A cylinder has a volume of 42 cm2 and a height of 5 cm calculate the radius of this cylinder
Since
v = πr^2h
42 = 5πr^2
r^2 = 42/(5π)
r = √(42/(5π))
To calculate the radius of a cylinder, we can use the formula for the volume of a cylinder, which is given by:
V = πr^2h
where V is the volume, r is the radius, and h is the height of the cylinder.
You've mentioned that the volume of the cylinder is 42 cm2 and the height is 5 cm.
We can substitute these values into the formula and solve for the radius:
42 cm2 = πr^2 * 5 cm
First, we can divide both sides of the equation by 5 cm to isolate the term πr^2:
42 cm2 / 5 cm = πr^2
Then, we can multiply both sides of the equation by 5/π to solve for r^2:
42 cm2 / (5 cm * π) = r^2
To find the radius, we need to find the square root of both sides of the equation:
√(42 cm2 / (5 cm * π)) = r
Now, let's plug in the values into a calculator to evaluate the expression and find the radius:
r ≈ √(42 cm2 / (5 cm * π))
After evaluating the expression, the approximate value of the radius will be determined.