If the height of a cone is doubled,then its v | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The volume of a cone is given by the formula $V = \frac{1}{3} \pi r^2 h$,where $r$ is the radius and $h$ is the height.Let the original volume be

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(A) The volume of a cone is given by the formula $V = \frac{1}{3} \pi r^2 h$,where $r$ is the radius and $h$ is the height.Let the original volume be $V_1 = \frac{1}{3} \pi r^2 h$.If the height is doubled,the new height $h' = 2h$.The new volume $V_2 = \frac{1}{3} \pi r^2 (2h) = 2 	imes (\frac{1}{3} \pi r^2 h) = 2V_1$.The increase in volume is $V_2 - V_1 = 2V_1 - V_1 = V_1$.The percentage increase is given by $\frac{	ext{Increase}}{	ext{Original Volume}} 	imes 100 = \frac{V_1}{V_1} 	imes 100 = 100 \%$.

If the height of a cone is doubled,then its volume is increased by (in $\%$)

Similar Questions

The base of a right prism is an equilateral triangle with a side of $6 \, cm$. If the volume of the prism is $108 \sqrt{3} \, cm^3$,its height is ...... $cm$.

If the volumes of two cubes are in the ratio $27: 1$,the ratio of their edges is

If $210\, m^{3}$ of sand is thrown into a tank $12\, m$ long and $5\, m$ wide,find how much the water level will rise? (in $m$)

$A$ $3.3\, m$ high room is half as long again as it is wide and its volume is $123 \frac{3}{4}\, m^3$. Find its length and breadth.

The total number of spherical bullets,each of diameter $5$ decimetre,that can be made by utilizing the maximum of a rectangular block of lead with $11$ $m$ length,$10$ $m$ breadth and $5$ $m$ width is (assume that $\pi > 3$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module