a cylindrical can has a volume of 198cm3, has a height of 7cm .find the radius of the cylinder
7π r^2 = 198
To find the radius of the cylinder, we'll use the formula for the volume of a cylinder:
V = πr^2h
Where:
V is the volume of the cylinder,
π is a mathematical constant (approximately equal to 3.14159),
r is the radius of the cylinder, and
h is the height of the cylinder.
In this case, we have:
V = 198 cm^3 and h = 7 cm.
Substituting these values into the formula, we have:
198 = πr^2(7)
Now, let's isolate the radius (r) by rearranging the formula:
r^2 = 198 / (7π)
To find the radius (r), we'll take the square root of both sides:
r = √(198 / (7π))
Now, let's calculate the value of the radius. First, we'll calculate the value of π:
π ≈ 3.14159
Substituting this value, we have:
r = √(198 / (7 * 3.14159))
Using a calculator, we can simplify this expression to find the radius of the cylinder.