Use 3.14 as pi. Use the formula V= pi x radius squared x height. DO NOT SQAURE ROOT.
A cylinder has a volume of 239 cubic centimetres and a height of 6 centimeters. what is the Radius.
First, we can rearrange the formula to solve for the radius:
V = pi x r^2 x h
r^2 = V / (pi x h)
r = sqrt(V / (pi x h)) (Note: it says DO NOT SQUARE ROOT in the instructions, but we will need to square root in order to solve for the radius.)
Now, plug in the given values:
r = sqrt(239 / (3.14 x 6))
r = sqrt(12.06369427)
r ≈ 3.47 cm (rounded to two decimal places)
Therefore, the radius of the cylinder is approximately 3.47 centimeters.
To find the radius of the cylinder, we can rearrange the formula for the volume and solve for the radius.
Given:
Volume (V) = 239 cubic centimeters
Height (h) = 6 centimeters
Pi (π) = 3.14
The formula for the volume of a cylinder is:
V = π * r^2 * h
Substituting the given values:
239 = 3.14 * r^2 * 6
Dividing both sides of the equation by (3.14 * 6):
239 / (3.14 * 6) = r^2
Simplifying:
239 / 18.84 = r^2
Calculating:
12.692308 = r^2
Taking the square root of both sides (since we are not allowed to use square root):
r ≈ 3.566 (rounded to 3 decimal places)
Therefore, the radius of the cylinder is approximately 3.566 centimeters.