A right cylinder has a total surface area of 471 square centimeters. The radius of the cylinder is 5 centimeters. What is the height in centimeters of the cylinder?
The circular area on the top = Pi r^2. The same with the bottom.
Pi = 3.1416
Surface area = 2Pi r^2 * h
Insert the known values and solve for h.
I hope this helps.
To find the height of the cylinder, we can use the formula for the surface area of a right cylinder, which is:
Surface Area = 2πrh + 2πr²
In this case, the radius of the cylinder is given as 5 centimeters, and the total surface area is given as 471 square centimeters. We can substitute these values into the formula and solve for the height.
So, let's plug in the values:
471 = 2π(5)(h) + 2π(5)²
Simplifying the equation:
471 = 10πh + 50π
Next, let's isolate the height term:
471 - 50π = 10πh
Dividing both sides of the equation by 10π:
(471 - 50π) / (10π) = h
Now, we can use a calculator to evaluate the right side of the equation:
h ≈ (471 - 50π) / (10π) ≈ 4.7 centimeters
Therefore, the height of the cylinder is approximately 4.7 centimeters.