Answer
$d=4$ cm.
Work Step by Step
If the diameter is $d$, then our equation is: $(0.5d)^2\pi\cdot10=40\pi\\0.25d^2=4\\d^2=16\\d=\pm4$
But $d$ must be non-negative, thus $d=4$.
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 1, Equations and Graphs - Section 1.4 - Solving Quadratic Equations - 1.4 Exercises - Page 124: 76
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