Answer:
the volume is [tex]6.28r^{3}[/tex][tex]in^{3}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cylinder.
Given data
Volume v = ?
Radius r = r in
Height h= 2r in
We are expected to solve for the volume of a cylinder, given the above data we can substitute it in the formula for volume of a cylinder to obtain our result
we know that the expression for the volume of a cylinder is
[tex]v= \pi r^{2} h[/tex]
[tex]v= 3.142*r^{2} *2r\\v= 3.142*2r^{3} \\v= 6.28r^{3} in^{3} \\[/tex]
Hence the volume in terms of the radius is [tex]6.28r^{3}in ^{3}[/tex]
