The radius and volume of a cylinder are 3.5,c | vedclass

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Question

(A) The volume $V$ of a cylinder is given by the formula $V = \pi r^2 h$,where $r$ is the radius and $h$ is the height.Given: $r = 3.5\,cm = \frac{7}{

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(A) The volume $V$ of a cylinder is given by the formula $V = \pi r^2 h$,where $r$ is the radius and $h$ is the height.Given: $r = 3.5\,cm = \frac{7}{2}\,cm$ and $V = 2310\,cm^3$.Substituting the values into the formula:$2310 = \frac{22}{7} 	imes (\frac{7}{2})^2 	imes h$$2310 = \frac{22}{7} 	imes \frac{49}{4} 	imes h$$2310 = \frac{11 	imes 7}{2} 	imes h$$2310 = 38.5 	imes h$$h = \frac{2310}{38.5} = 60\,cm$.Therefore,the height of the cylinder is $60\,cm$.

The radius and volume of a cylinder are $3.5\,cm$ and $2310\,cm^3$ respectively. Find its height in $cm$.

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