Question

the total surface area of a cylinder is 2464 sq cm the height and 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.
 
SORRY IF THERE IS ANY MISTAKE.

Answer 2

H = R
  TSA = 2 π R (R +H)
  2464 cm² = 4 * 22/ 7  * R²
  R² = 2464 * 7 / 88 = 196
  R = 14 cm