Use 3.14 as pi. Use the formula V= pi x radius squared x height.
A cylinder has a volume of 239 cubic centimetres and a height of 6 centimeters. what is the Height?
We know the formula for the volume of a cylinder is V= pi x radius squared x height. We also know that the volume of this cylinder is 239 cubic centimeters and the height is 6 centimeters.
So, we can rewrite the formula as:
239 = 3.14 x radius squared x 6
Simplifying this equation, we get:
39.83 = radius squared
Taking the square root of both sides, we get:
6.31 = radius
Therefore, the height of the cylinder is:
V = pi x r^2 x h
239 = 3.14 x 6.31^2 x h
239 = 3.14 x 39.89 x h
239 = 125.42 x h
h = 239/125.42
h = 1.9
Therefore, the height of the cylinder is approximately 1.9 centimeters.
To find the height of a cylinder with a given volume and radius, we can rearrange the volume formula:
V = π x r^2 x h
Given:
Volume (V) = 239 cubic centimeters
Radius (r) = unknown
Height (h) = 6 centimeters
Pi (π) = 3.14
Let's rearrange the formula and solve for the height (h):
V = π x r^2 x h
Divide both sides by π x r^2:
V / (π x r^2) = h
Substitute the given values:
V / (3.14 x r^2) = 6
Now, isolate the height (h):
6 x (3.14 x r^2) = V
Multiply:
18.84 x r^2 = V
Finally, solve for the height (h) by dividing both sides by 18.84:
r^2 = V / 18.84
h = V / (18.84 x r^2)
Substituting the given volume:
h = 239 / (18.84 x r^2)
Therefore, the height of the cylinder is h = 239 / (18.84 x r^2).