Question

zula has a conical bird feeder with a volume of 64.3 cubic centimeters and a height of 7 centimeters. which equation can be used to find the area of the circular lid needed to cover the bird feeder?

\\(64.3 = \frac{1}{3}(7)(h)\\)
\\(64.3 = \frac{1}{3}(b)(7)\\)
\\(64.3 = \frac{1}{3}(b^2)(7)\\)
\\(64.3 = \frac{1}{3}(b)(7)^2\\)

Explanation:

State the formula for the volume of a cone

$$ V = \frac{1}{3} B h $$

Substitute the given values into the formula

$$
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$$

Match with the given options

$$ 64.3 = \frac{1}{3}(B)(7) $$

Answer:

• (A) \(64.3 = \frac{1}{3}(7)(h)\)
• (B) \(64.3 = \frac{1}{3}(B)(7)\) (Correct answer)
• (C) \(64.3 = \frac{1}{3}(B^2)(7)\)
• (D) \(64.3 = \frac{1}{3}(B)(7)^2\)