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 radius of a cylinder is doubled and the height is halved. What is the ratio between the new volume and the previous volume?

The height of a cone is $30 \, cm$. $A$ small cone is cut off at the top by a plane parallel to the base. If its volume is $\frac{1}{27}$ of the volume of the given cone,at what height above the base is the section made? (in $cm$)

$A$ $1 \, m^3$ of metal weighing $90 \, Kg$ is rolled into a square bar $9 \, m$ long. An exact cube is cut off from the bar. How much does it weigh? (in $kg$)

$3$ equal cubes are placed adjacently in a row. Find the ratio of the total surface area of the new cuboid to the sum of the surface areas of the three cubes.

$A$ spherical aquarium can accommodate $11$ fishes,and each fish requires $1.54 \, m^3$ of water. What is the volume of the aquarium? (in $m^3$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module