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?

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

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?

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

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Volume of a Cone" ], "new_concepts": [], "current_concepts": [ "Volume of a Cone", "Cone Geometry" ] } ## State the formula for the volume of a cone $$ V = \frac{1}{3} B h $$ ## Substitute the given values into the formula $$ \begin{aligned} V &= 64.3 \ h &= 7 \ 64.3 &= \frac{1}{3} (B) (7) \end{aligned} $$ ## Match with the given options $$ 64.3 = \frac{1}{3}(B)(7) $$

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

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

(C) $64.3 = \frac{1}{3}(B^2)(7)$

(D) $64.3 = \frac{1}{3}(B)(7)^2$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Volume of a Cone" ] }

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Question

Explanation:

State the formula for the volume of a cone

Substitute the given values into the formula

Match with the given options

Answer: