The diameter of a water bottle is 2.4 centimeters. The height is 10.3 centimeters. What is the volume?Also Why does the formula for the volume of a cylinder include π r^2( Pie, R to the 2nd power )

Given
diameter - 2.4 cm
Height - 10.3 cm
Find
Volume
Explanation
(a) Volume of water bottle =
[tex]\pi r^2h[/tex]radius = half of diameter = 2.4/2 = 1.2 cm
so ,
[tex]\begin{gathered} volume=\pi(1.2)^2\times10.3 \\ =46.60cm^3 \end{gathered}[/tex](b)
The volume of cylinder is also given by
Volume = Area of Base X height
In case of cylinder the base is a circle whose area is π r^2
That's why volume of a cylinder include π r^2.
Final Answer
V = 46.60 cubic cm