Question

A cylinder has a height of 30 ft and a volume of 63,679 ft³. What is the radius of the cylinder? Round your answer to the nearest whole number.

Answer 1

Here try these steps::

Step 1Know the Formula for the Volume of a Cylinder
The formula for the volume of a cylinder contains three elements: the radius of the cylinder (r), the height (h) of the cylinder, and the ratio of the circumference of a circle to its diameter pi. To find the volume of a cylinder, you multiply pi by the cylinder's height and the square of its radius. Here is the formula in mathematical terms:
V = pi x h x r^2
Step 2Solve for the Radius (r)
Since you want to find the radius of the cylinder, you need to rearrange the formula to solve for the term r, which is the radius. First, divide both sides by pi and h. These terms will cancel on the right side of the equation, leaving only r^2. Now take the square root of both sides to get rid of the square on the radius. This leaves us with the following:
r = square root of (V / (pi x h))
Step 3Plug in the Values for Height (h) and Volume (V) and Calculate
Now just plug your numbers into the equation and compute the radius. For example, if your cylinder has a height of 10 centimeters and a volume of 30 cubic centimeters, the calculation would look like the following:
r = square root of (30 cm^3 / (3.14 x 10 cm)) = 0.98 cm
Link By: http://sciencing.com/radius-cylinder-given-volume-height-6104925.html