a cylinder has a height of 7cm and a surface area S=88meter square. what are the radius and volume of this cylinder?convert your answer into cm.

1 answer

V = pi r^2 h

S = 2 pi r^2 + 2 pi r h
= 88 * 10^4 cm^2
so

2 pi (r^2 + 7r) = 88 *10^4
r^2 + 7 r = about 14 *10^4
r is around 400 (do quadratic with calculator)cm
almost all of the area is in the top and bottom so V = about 7*44*10^4