A cylinder has a surface area of 339 square centimeters and a radius of 6 centimeters. Estimate the volume of the cylinder to the nearest whole number

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I don't get it!

To estimate the volume of the cylinder, we first need to find the height (or length) of the cylinder.

The surface area of a cylinder is given by the formula:
Surface Area = 2πr(r + h)

In this case, we are given the surface area (339 square centimeters) and the radius (6 centimeters).

339 = 2π(6 + h)

To solve for h, divide both sides of the equation by 2π:
339 / (2π) = 6 + h

To isolate h, subtract 6 from both sides of the equation:
(339 / (2π)) - 6 = h

Now we can calculate the value of h using a calculator:

h ≈ (339 / (2π)) - 6

Next, we can use the formula for the volume of a cylinder to estimate the volume. The formula is:

Volume = πr^2h

Using the given radius (6 centimeters) and the calculated height (h), we can estimate the volume:

Volume ≈ π(6)^2h

Evaluate the expression using the approximate value of h obtained from the previous step, and calculate the result:

Volume ≈ π(6)^2 * h

Finally, round the estimated volume to the nearest whole number.

A=2πrh+2πr^2

339 = (2 * 3.14 * 6 * h) + (2 * 3.14 * 6^2)

Can you take it from there?