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McGraw Hill Integrated II, 2012 View details

Preparing for Standardized Tests

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Exercise 1 Page 877

Let r denote the radius of the given right circular cone. Since the slant height l is twice the radius, we get that l=2 r.

The lateral area L of the cone is about 569 square millimeters. Furthermore, it is given by the formula L=π r l. We are asked to find the radius and round our answer to the nearest whole millimeter. Let's use the formula for L and substitute the known expressions.

L=π r l

SubstituteII

L= 569, l= 2 r

569=π r * 2 r

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Solve for r

Multiply

569=2π r^2

DivEqn

.LHS /2π.=.RHS /2π.

569/2π= r^2

RearrangeEqn