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Big Ideas Math: Modeling Real Life, Grade 7

BI

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.

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. By substituting r with 6 and h with 9 into the formula, we can solve for S. Let's do it!

S=2π rh+2π r^2

r= 6, h= 9

S=2π( 6)( 9)+2π( 6)^2

▼

Evaluate right-hand side

Calculate power

S=2π(6)(9)+2π(36)

Multiply

S=108π+72π

Add terms

S=180π

π= 3.14

S≈ 180* 3.14

Multiply

S≈ 565.2

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

Subchapter links

Try It p.416-417

Self-Assessment for Concept & Skills p.417

Self-Assessment for Problem Solving p.418

Review & Refresh p.419

Concept, Skills, & Problem Solving p.419-420