Question

A right cylinder has a radius of r inches and height of 2r inches.

Answer 1

Answer:

the volume is $6.28r^{3}$$in^{3}$

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

$v= \pi r^{2} h$

$v= 3.142*r^{2} *2r\\v= 3.142*2r^{3} \\v= 6.28r^{3} in^{3}$

Hence the volume in terms of the radius is $6.28r^{3}in ^{3}$