Question

The volume of a cylinder, found using 3.14 to approximate pi, is 30,395.2 cm3, and the radius is 11 cm.

What is the height of the cylinder?

Answer 1

`The\ volume\ of\ a\ cylinder:V=\pi r^2H\\\\\pi\approx3.14\\V=30395.2\ cm^3\\r=11\ cm\\H=?\\\\subtitute\ the\ values\ of\ \pi;\ V\ anr\ to\ the\ equation:\\\\30395.2=3.14\cdot11^2H\ \ \ \ |divide\ both\ sides\ by\ 3.14\\9680=121H\ \ \ \ |divide\ both\ sides\ by\ 121\\80=H\\\\\boxed{H=80\ cm}`