a circular cardboard piece is needed for the base of a volcano model. the volcano is 46 centimeters tall and has a volume of 800 cubic centimeters. which equation can be used to find the area of the circular base?

$46 = \frac{1}{3}(b)^2(800)$

$46 = \frac{1}{3}(b)(800)$

$800 = \frac{1}{3}(b^2)(46)$

$800 = \frac{1}{3}(b)(46)$

Question

a circular cardboard piece is needed for the base of a volcano model. the volcano is 46 centimeters tall and has a volume of 800 cubic centimeters. which equation can be used to find the area of the circular base?

$46 = \frac{1}{3}(b)^2(800)$

$46 = \frac{1}{3}(b)(800)$

$800 = \frac{1}{3}(b^2)(46)$

$800 = \frac{1}{3}(b)(46)$

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 Base Area" ] } ## State the formula for the volume of a cone $$ V = \frac{1}{3} B h $$ ## Substitute the given values into the formula $$ \begin{aligned} &V = 800 \ &h = 46 \ &800 = \frac{1}{3} (B) (46) \end{aligned} $$

(A) $46 = \frac{1}{3} (B)^2 (800)$

(B) $46 = \frac{1}{3} (B) (800)$

(C) $800 = \frac{1}{3} (B^2) (46)$

(D) $800 = \frac{1}{3} (B) (46)$

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

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QUESTION IMAGE

Question

Explanation:

State the formula for the volume of a cone

Substitute the given values into the formula

Answer: