Question

The total surface area of a cylinder is 2464 sq cm. The height and the radius of the cylinder are equal. Find the radius of its base

Answer 1

T.S.A OF THE CYLINDER =2464 SQ CM
THE HEIGTH AND THE RADIUS OF THE CYLINDER IS EQUAL.
LET THE HEIGHT AND THE RADIUS BE x.
T.S.A OF A CYLINDER= 2*22/7*RADIUS(HEIGHT+RADIUS)
                                     =44/7*x(x+x)                
                                     =44/7*2x RAISED TO 2
                                     =14 CM
THEREFORE, THE HEIGHT AND THE RADIUS OF THE CYLINDER IS 14 CM.