Envision Math 2.0: Grade 8, Volume 2
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Envision Math 2.0: Grade 8, Volume 2 View details
Review

Exercise 3 Page 448

Use the formula for the surface area.

252Ď€ in.^2

Practice makes perfect

We want to find the surface area of a cylinder.

To calculate the surface area of a cylinder, we can use the following formula. S.A.=2Ď€ r^2 + 2Ď€ r h In this formula, r is the radius of the base and h is the height of the cylinder. In the diagram we can see that the diameter is 12inches. Therefore, the radius is 12Ă· 2= 6inches. Substituting r with 6 and h with 15 into the formula, we can solve for S.A. Let's do it!
S.A.=2Ď€ r^2 + 2Ď€ rh
S.A. = 2π ( 6)^2 + 2 π ( 6)( 15)
â–Ľ
Simplify right-hand side
S.A.=2Ď€(36) + 2Ď€ (6)(15)
S.A. = 2Ď€(36) + 2Ď€(90)
S.A. = 2(36)Ď€ + 2(90)Ď€
S.A. = 72Ď€ + 180Ď€
S.A.= 252Ď€
The surface area of the cylinder is equal to 252Ď€ square inches.