Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
2. Surface Areas of Cylinders
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Exercise 1 Page 416

Use the formula for the surface area.

about 565.2yd^2

Practice makes perfect

We are asked to find the surface area of the given cylinder. The cylinder has a radius of 6 yards and the height of 9 yards.

To calculate the surface area of a cylinder, we can use the following formula. S=2Ï€ rh+2Ï€ r^2 In this formula, r is the radius of the base and h is the height of the cylinder. By substituting r with 6 and h with 9 into the formula, we can solve for S. Let's do it!

S=2Ï€ rh+2Ï€ r^2
S=2Ï€( 6)( 9)+2Ï€( 6)^2
â–¼
Evaluate right-hand side
S=2Ï€(6)(9)+2Ï€(36)
S=108Ï€+72Ï€
S=180Ï€
S≈ 180* 3.14
S≈ 565.2

We found that the surface area of the cylinder is about 565.2 square yards.