Question

A cylinder has a radius of 12 cm and a height of 15 cm what is the lateral area of the cylinder .

Answer 1

1131 cm

Explanation:

2πrh=2·π·12·15≈1130.97336

Answer 2

1131 cm² (nearest tenth)

Explanation:

The lateral surface area of a cylinder is the curved surface area only, i.e. the surface area not including the circular bases.

`\boxed{\begin{minipage}{5.4 cm}\underline{Lateral Surface Area of a cylinder}\\\\$L.S.A.=2 \pi r h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}`

Given:

• r = 12 cm
• h = 15 cm

Substitute the given values into the formula:

`\begin{aligned}\implies L.S.A.&=2 \pi \cdot 12 \cdot 15\\&=360 \pi \\&=1130.973355\\&=1131\; \sf cm^2\;(nearest\;tenth)\end{aligned}`

Therefore, the lateral surface area of a cylinder with a radius of 12 cm and a height of 15 cm is 1131 cm² (nearest tenth).