Mathematics

A cylinder of base radius 4cm is open at one end . If the ratio…

A cylinder of base radius 4cm is open at one end . If the ratio of the area of its base to that of its curved surface is 1:4, calculate the height of the cylinder
  • A.
    1cm
  • B.
    2cm
  • C.
    4cm
  • D.
    8cm
  • E.
    16cm
Correct Answer: Option D
Explanation

r= 4cm; base area = (pi)r2; Curve S.A = 2(pi)rh
(frac{base area}{curved area}) = 1/4; (pi)/2(pi)rh
=h = (frac{4 x 4cm}{2})
h= 8cm