Question

Find the following measure for this figure.

Lateral area =

Answer 1

`\bf \textit{lateral area of a cone}\\\\ LA=\pi r√(r^2+h^2)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=11 \end{cases}\implies LA=\pi (5)√(5^2+11^2) \\\\\\ LA=5\pi √(146)\implies LA\approx 189.8`

Answer 2

Lateral Surface area of cone is 190 unit².

Explanation:

Given: Height of cone , h = 11 unit

Radius of cone , r = 5 unit

To find: Lateral Surface Area

Slant height , l =
`√(r^2+h^2)`

`l=√(5^2+11^2)`

`l=√(25+121)`

`l=√(146)`

Lateral surface area =
`\pi rl`

=
`(22)/(7)*5*√(146)`

=
`189.876436728`

=
`190\:unit^2\:(approx.)`

Therefore, Lateral Surface area of cone is 190 unit².