7
QuizMultiple Choice

Applications with the Volume of a Cone — Quiz

Question 7 • Foundations of Math 1

Sondra has a conical bird feeder with a circular top. The volume of the bird feeder is 153 point 8 6 cubic inches. The height of the feeder is 12 inches. What is radius of the top? Use 3 point 1 4 for pi . Round the answer to the nearest tenth.

Answer
A
12 point 3 in.
B
3 point 5 in.
C
49 point 0 in.
D
7 point 0 in.

Explanation

Use the cone volume formula, V = (1/3)πr²h. Substituting the given values gives r² = (3 × 153.86) ÷ (3.14 × 12) = 12.25, so r = √12.25 = 3.5 inches. The radius is 3.5 inches, choice B.

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