Question

Create a cylinder with a height of 6 cm and a radius of 10 cm.

Notice the volume calculation is 1,885.0 cm3.

Drag the orange dot to double the cylinder’s height.


What do you notice about the new volume compared to the original volume?

Answer 1

Answer:

the volume of the cylinder will be twice its original volume that is equal to 3770 cm3

Step-by-step explanation:

original volume=π r^2h

new height is =2h

new volume=πr^2*2h

new volume /original volume=2:1

Answer 2

Answer:

The new is twice compared to the original volume

Step-by-step explanation:

Given the height of the cylinder,  h = 6 cm

The radius of the cylinder,  r = 10 cm

Volume of the cylinder,  $V=1,885.0 ~cm^3$

Volume of a cylinder is given by $\pi r^{2} h$ where r is the radius and h is the height of the cylinder.

Therefore, the original volume of the cylinder is

$V=\pi r^{2} (2h)\implies 1885=\pi r^{2}h$                ....(1)

Given the height of the cylinder is doubled, therefore new height is

$2\times 6=12 cm$

As there is no change in the radius of the cylinder, thus, the new volume of the cylinder,

$V_{new}=\pi r^{2} (2h)$                                      ....(2)

Dividing equation (2) by equation (1)

$\dfrac{V_{new}}{1885} =\dfrac{\pi r^{2}(2h)}{\pi r^{2}h }$

$\implies V_{new}=2\times 1885=3770cm^{3}$

Therefore, when height of the cylinder is doubled, the new volume is twice compared to the original volume.