The base of a cone with radius 15 , cm and he | vedclass

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(A) Given: Radius of the cone $(r)$ = $15 \, cm$,Height of the cone $(h)$ = $20 \, cm$. First,calculate the slant height $(l)$ of the cone: $l = \sqrt

Vedclass · Accepted Answer

$2590$

Vedclass · Answer

(A) Given: Radius of the cone $(r)$ = $15 \, cm$,Height of the cone $(h)$ = $20 \, cm$. First,calculate the slant height $(l)$ of the cone: $l = \sqrt{r^2 + h^2} = \sqrt{15^2 + 20^2} = \sqrt{225 + 400} = \sqrt{625} = 25 \, cm$. The total surface area of the article consists of the curved surface area of the cone and the curved surface area of the hemisphere. Curved surface area of the cone = $\pi rl = 3.14 	imes 15 	imes 25 = 1177.5 \, cm^2$. Curved surface area of the hemisphere = $2\pi r^2 = 2 	imes 3.14 	imes 15^2 = 2 	imes 3.14 	imes 225 = 1413 \, cm^2$. Total surface area = $1177.5 + 1413 = 2590.5 \, cm^2$.

The base of a cone with radius $15 \, cm$ and height $20 \, cm$ is hemispherical. Find the total surface area of this article. $(\pi = 3.14)$ (in $cm^2$) (in $.5$)

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