Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
4. Surface Area of Cylinders
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Exercise 4 Page 623

Use the formula for the surface area of a cylinder.

1120 in.^2

Practice makes perfect

We are given a cylinder and want to find its surface area.

To calculate the surface area of a cylinder, we can use the following formula. S=2π rh+2π r^2 In this formula, r is the radius of the base and h is the height of the cylinder. Substituting r with 11 12 and h with 4 into the formula, we can solve for S. Let's do it!
S=2π rh+2π r^2
S=2π( 11 12)( 4)+2π( 11 12)^2
Simplify right-hand side
S=2π(11* 2 +1/2)(4)+2π(11* 2 +1/2)^2
S=2π(22 +1/2)(4)+2π(22 +1/2)^2
S=2π(23/2)(4)+2π(23/2)^2
S=2π(23/2)(4)+2π(23^2/2^2)
S=2π(23/2)(4)+2π(529/4)
S=92π+264.5π
S=356.5π
S=1119.977781...
S≈ 1120
The surface area of the cylinder is about 1120 square inches.