The curved surface area of a cylinder is 1760cm^2 and its volume is 12320cm^3. Find radius

2 answers

volume = pi r^2 h = 12320
area = 2 pi r h = 1760
so
h = 1760/2 pi r
and
12320 = pi r^2 (1760/2 pi r)
etc
v = pi r^2 h
a = 2pi r h
so, h = v/(pi r^2) = a/(2pi r)
r = 2v/a