Right cylinder surface and volume

Text

A right cylinder has base radius $6$ cm and height $10$ cm. Find the lateral surface, the total surface and the volume.

Solution

Lateral surface: $S_\ell=2\pi r h=2\pi\cdot6\cdot10=120\pi\approx376.99$ cm$^2$. Total surface: $S_t=2\pi r(r+h)=2\pi\cdot6\cdot16=192\pi\approx603.19$ cm$^2$. Volume: $V=\pi r^2 h=\pi\cdot36\cdot10=360\pi\approx1130.97$ cm$^3$. $\boxed{S_\ell=120\pi;\ S_t=192\pi\ \text{cm}^2;\ V=360\pi\ \text{cm}^3}$