the volume of a cylinder is 196x in. 3 and the hight of the cylinder is 1 in. what is the radius of the cylinder
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 that the volume is 196x in. 3 and the height is 1 in. Substituting these values into the formula, we get:
196x=πr^2(1)
Simplifying this equation, we can isolate the radius:
r^2=196x/π
r=sqrt(196x/π)
Therefore, the radius of the cylinder is sqrt(196x/π) inches.
To find the radius of the cylinder, we need to use the formula for the volume of a cylinder:
V = πr²h
Given that the volume (V) is 196π in³ and the height (h) is 1 in, we can plug these values into the formula and solve for the radius (r):
196π = πr²(1)
Simplifying the equation, we can cancel out π:
196 = r²
To solve for r, we take the square root of both sides:
√196 = √(r²)
14 = r
Therefore, the radius of the cylinder is 14 inches.
To find the radius of the cylinder, we need to use the formula for the volume of a cylinder:
V = πr^2h
Given that the volume of the cylinder is 196x in^3 and the height is 1 in, we can substitute these values into the formula:
196x = πr^2(1)
Simplifying the equation:
196x = πr^2
To solve for r, divide both sides of the equation by π:
196x / π = r^2
To isolate r, take the square root of both sides:
√(196x / π) = r
So, the radius of the cylinder is √(196x / π).