A cube of edge 2cm is inscribed in a cylinder with an altitude of 4 cm. Find the volume of the cylinder?
Hello reiwardDraw a plan view of the cube inscribed in the cylinder, and you'll get a square of side $\displaystyle 2$ cm inscribed in a circle. If the radius of the circle (and therefore also the cylinder) is $\displaystyle r$, then:
$\displaystyle r^2 = 1^2 + 1^2$Now use the formula $\displaystyle V = \pi r^2 h$ to find the volume of the cylinder.
Grandad