Question

Keeping the radius of a right circular cone same,if the height of it is increased twice,the volume of it will be increased by
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Answer 1

SOLUTION

TO DETERMINE

Keeping the radius of a right circular cone same,if the height of it is increased twice,the volume of it will be increased by

EVALUATION

Let radius of the right circular cone = r unit and height = h unit

So the volume of the right circular cone

$\displaystyle \sf{ V_1= \frac{1}{3}\pi {r}^{2} h }$

Now Keeping the radius of a right circular cone same,if the height of it is increased twice

So new radius = r unit and new height = 2h unit

So the new volume

$\displaystyle \sf{ V_2= \frac{1}{3}\pi {r}^{2}(2 h) }$

$\displaystyle \sf{ \implies \: V_2= 2 \times \frac{1}{3}\pi {r}^{2} h}$

$\displaystyle \sf{ \implies \: V_2= 2 \times V_1}$

Hence the volume of the right circular cone will be doubled

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Answer 2

Answer:

keeping the radius of a right circular cone same. if the height of it is increased twice the volume of it will be