x^2 + y^2<=r^2 and -h/2<=z<=h/2 (assuming base radius r and height h)
(drawn with base radius 1 and height 2)
volume | π h r^2 lateral surface area | 2 π h r≈6.28319 h r base area | π r^2 base circumference | 2 π r≈6.28319 r surface area | 2 π r (h + r)≈6.28319 r (h + r) (assuming base radius r and height h)