Answer: [tex]45781.2\text{ cm}^3 [/tex]
Step-by-step explanation:
From the given picture, the diameter of the base of cylinder = 12 cm
i.e. the radius of the cylinder =[tex]r=\dfrac{12}{2}=6\ cm[/tex]
Height = 15 cm
If the dimensions of the following cylinder are tripled, then the radius of cylinder =[tex]3\times6=18\ cm[/tex]
Height=[tex]3\times15=45\ cm[/tex]
We know that the volume of a cylinder is given by :-
[tex]\text{Volume}=\pi r^2 h\\\\\Rightarrow\\text{Volume}=(3.14)(18)^2(45)\\\\\Rightarrow\text{Volume}=45781.2\text{ cm}^3 [/tex]
