The radius of a closed cylinder is 14 cm and its total surface area is 2112 cm2. What is its height? (Take \(\pi=\frac{22}{7}\))
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 10 cm
The total surface area of a closed cylinder is \(2\pi r(r+h)\), so dividing by \(2\pi r\) gives \(r+h\).
\(\displaystyle2\pi r=2\times\frac{22}{7}\times14=88\)
\(88(14+h)=2112\), so \(14+h=24\)
\(h=24-14=10\) cm