Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
5. Surface Area of Cones
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Exercise 30 Page 638

Use the formula for the surface area of a cylinder.

301.6 yd^2

Practice makes perfect

The given solid is a cylinder.

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. Since we know that the diameter d equals 8 yards. we can calculate r by dividing the diameter by 2. r=8/2 ⇒ r= 4yd By substituting r with 4 and h with 10 into the formula, we can find the value of S. Let's do it!

S=2Ï€ rh+2Ï€ r^2
S=2Ï€( 4)( 10)+2Ï€( 4)^2
â–¼
Evaluate right-hand side
S=2Ï€( 4)(10)+2Ï€(16)
S=80Ï€+32Ï€
S=96Ï€
S=301.592894...
S≈ 301.6

The surface area of the cylinder is about 301.6 square yards.