Home » A solid cylinder of radius 3cm has a total surface area of 36(pi)cm2. Find its…

A solid cylinder of radius 3cm has a total surface area of 36(pi)cm2. Find its…

A solid cylinder of radius 3cm has a total surface area of 36(pi)cm2. Find its height

  • A.
    2cm
  • B.
    3cm
  • C.
    4cm
  • D.
    5cm
  • E.
    6cm
Correct Answer: Option B
Explanation

Area 2(pi)r2 + 2 (pi)r(r + h)
= 2(pi)r(r + h)
36(pi) = 6(pi)(r + h)
36(pi) = 6(pi)(3 + h)
36(pi) = 18(pi) + 6(pi)h
36(pi) – 18(pi) = 6(pi)h
Divide both side by 6(pi)
h = 3cm