Question

Please Help Quickly!

If the dimensions of the following cylinder are tripled, what will be the volume of the new cylinder?

15,260.4 cm
45,781.2 cm
61,041.6 cm
183,124.8 cm

Answer 1

45,781.2 I believe, I am not sure, but I think that is right.

Answer 2

Answer:
`45781.2\text{ cm}^3`

Explanation:

From the given picture, the diameter of the base of cylinder = 12 cm

i.e. the radius of the cylinder =
`r=(12)/(2)=6\ cm`

Height = 15 cm

If the dimensions of the following cylinder are tripled, then the radius of cylinder =
`3*6=18\ cm`

Height=
`3*15=45\ cm`

We know that the volume of a cylinder is given by :-

`\text{Volume}=\pi r^2 h\\\\\Rightarrow\\text{Volume}=(3.14)(18)^2(45)\\\\\Rightarrow\text{Volume}=45781.2\text{ cm}^3`