The volume of a cylinder is #794# #cm^3#. The height of the cylinder is #7# #cm#. How do you calculate the radius of the cylinder to the nearest tenth of a centimeter?

Question

2219 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-07T04:50:09

Firstly, what we need to do is to define the formula to find the volume of a cylinder:

#V = pi * r^2 * h#

Then, from using this formula, we can then find the radius...

#V = pi * r^2 * h = 794#

= #V = pi * r^2 * 7 = 794#

= #pi * r^2 = 794/7#

= #r^2 = 113.4285714 / pi#

= #r = sqrt 36.10543566#

= #r ~~ 6#

#therefore# the radius of the cylinder #approx 6#