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.Com
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)   (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,

If include the circle top and bottom, the for these alone.

RELATED QUESTIONS

Find the total area of the cylinder generated by rotating a 6 in. by 10 in. rectangle... (answered by josgarithmetic)
Find, in terms of π, the surface area of a sphere generated by rotating a semicircle (answered by ikleyn,robertb)
A 3 by 4 inches rectangle is revolved about its shorter side to generate a right circular (answered by ankor@dixie-net.com)
The region R in the first quadrant is bounded by y=6sin(πx/2), y=6(x-2)^2 and y=4x+2,... (answered by CPhill)
Please help me solve this equation: Let R be the region enclosed by {{{ y=-(x-1)^2+1 }}} (answered by solver91311)
If a rectangle has a length of 9 inches and a height of 6 inches, find the volume of the... (answered by Alan3354)
If a rectangle has sides of 10 and 6, find the area if the longest side is decreased by... (answered by nerdybill)
the legs of a right triangle are 4ft and 3ft. Find the lateral area and the volume of... (answered by Alan3354)
Find the surface area of a torus (doughnut) obtained by rotating the circle (x-b)^2+y^2... (answered by galactus)