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3 years ago

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

Mathematics

1 answer:

Bess [88]3 years ago

6 0

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 $6.28r^{3}in ^{3}$

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