the volume of a cone with a radius of 7 cm is $147\pi$ cubic centimeters. which expression can be used to find $h$, the height of the cone?

$147\pi = \frac{1}{3}(7)(h)^2$
$147\pi = \frac{1}{3}\pi(7^2)(h)$
$147\pi = \frac{1}{3}\pi h$
$147\pi = \frac{1}{3}\pi(7)(h)$

Question

the volume of a cone with a radius of 7 cm is $147\pi$ cubic centimeters. which expression can be used to find $h$, the height of the cone?

$147\pi = \frac{1}{3}(7)(h)^2$
$147\pi = \frac{1}{3}\pi(7^2)(h)$
$147\pi = \frac{1}{3}\pi h$
$147\pi = \frac{1}{3}\pi(7)(h)$

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" ] } ## State the formula for the volume of a cone $$ V = \frac{1}{3}\pi r^2 h $$ ## Substitute the given values into the formula $$ \begin{aligned} &V = 147\pi \ &r = 7 \ &147\pi = \frac{1}{3}\pi (7^2)(h) \end{aligned} $$

(A) $147\pi = \frac{1}{3}(7)(h)^2$

(B) $147\pi = \frac{1}{3}\pi (7^2)(h)$

(C) $147\pi = \frac{1}{3}\pi h$

(D) $147\pi = \frac{1}{3}\pi (7)(h)$

{ "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

Answer: