Question

A cylinder has a height of 1 m and the circumference of its base is 176 cm. How many sq cm is its total surface area?

Answer 1

Height of cylinder (h) = 1m = 100 cm
Circumference of the base of cylinder (2πr) = 176 cm

$$\begin{gathered} \Rightarrow 2\mathrm{\pi r}=176 \\ \Rightarrow \mathrm{r}=\frac{176\times 7}{2\times 22} \\ \Rightarrow \mathrm{r}=28 \end{gathered}$$

Total surface area of cylinder = 2πr(r + h)

$$\begin{gathered} =176(28+100) \\ =176\times 128 \\ =22528\mathrm{sq}\mathrm{cm} \end{gathered}$$