SOLUTION: find the surface area of a cylinder whose bases are circle with a radius of 18 inches and the height of the cylinder is 48 inches
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Question 698706: find the surface area of a cylinder whose bases are circle with a radius of 18 inches and the height of the cylinder is 48 inches
Answer by Positive_EV(69) (Show Source): You can put this solution on YOUR website!
The surface area of a cylinder is equal to the sum of the areas of the circles on the top and bottom of the cylinder and the area around the cylinder.
The area of a circle is , where r = 18, so is the area of each circle.
The area of the section between the circles is a bit trickier. You can think of this section as a rectangle rolled up into a cylindrical shape. This rectangle has a height of 48, and a width equal to the circumference of the circle, which is
.
The area of this rectangle is equal to the height times the width, which is .
The sum of the area of the three parts is .
The surface area is 2376*pi = 7464.424 square inches.
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