A tin can is 12 cm tall and the radius of its circular base is 7 cm. Take \(\pi=\frac{22}{7}\) and read the two statements below.
I. The can holds 1948 cm3 when full.
II. The label that exactly covers the side of the can (not the top or the bottom) has an area of 528 cm2.
Which of the above statements is/are correct?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Only II
The can is a cylinder of radius \(r=7\) cm and height \(h=12\) cm. What it holds is its volume \(=\pi r^2h\); the side label covers its curved surface area \(=2\pi rh\).
Statement I — Incorrect.
Volume \(=\frac{22}{7}\times7\times7\times12=22\times7\times12=1848\) cm3, not 1948 cm3
Statement II — Correct.
Curved surface area \(=2\times\frac{22}{7}\times7\times12=2\times22\times12=528\) cm2
Only statement II is correct.