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QuizMultiple Choice

Applications with the Volume of a Cone — Quiz

Question 1 • Foundations of Math 1

A model of a volcano that is 22 centimeters tall with a volume of 586 point 7 cubic centimeters. What is the area of the base of the model? Round the answer to the nearest tenth.

Answer
A
26 point 7 cm squared
B
1 comma 760 point 1 cm squared
C
80 point 0 cm squared
D
4 comma 302 point 5 cm squared

Explanation

A cone’s volume is V = (1/3)Bh, where B is the area of its base and h is its height. Rearrange to find the base area: B = 3V/h = (3 × 586.7)/22 ≈ 80.0 square centimeters. The correct choice is 80.0 cm².

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