The radius of a cylinder is 7 cm and its total surface area is 968 cm2. What is its height? (Take \(\pi=\frac{22}{7}\))
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 15 cm
The total surface area of a closed cylinder is \(2\pi r(r+h)\): the curved surface plus the two circular ends.
\(\displaystyle2\times\frac{22}{7}\times7\times(7+h)=968\)
\(44(7+h)=968\), so \(7+h=22\)
\(h=15\) cm