SOLUTION: Find the total area of the cylinder generated by rotating a 6 in. by 10 in. rectangle about its longest side as an axis.

Algebra ->  Volume -> SOLUTION: Find the total area of the cylinder generated by rotating a 6 in. by 10 in. rectangle about its longest side as an axis.      Log On


   

Question 766512: Find the total area of the cylinder generated by rotating a 6 in. by 10 in. rectangle about its longest side as an axis.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The radius for the cylinder is the shorter side of the 6 by 10 rectangle. The length of the cylinder is the longest side of the rectangle. To find the total area requires the circumference and the length.

Area of the circular shell: circumference multiplied by length, %282%2Api%2A6%29%2A10

If include the circle top and bottom, the 2%2A%28pi%2A6%5E2%29 for these alone.