Question

The slant height and base diameter of a conical tomb are 25m and 14m respectively.Find its curved surface area.
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Answer 1

$\bigstar\bf\underline{\underline{Given:-}}$

• The slant height and base diameter of a conical tomb are 25m and 14m

$\bigstar\bf\underline{\underline{To \ find:-}}$

• Its curved surface area.

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$\bigstar\bf\underline{\underline{Solution:-}}$

Let, curved surface area of tomb = πrl

Given slant height = l = 25cm

Radius = $\sf \frac{14}{2}$ = 7cm

Curved surface area of tomb = πrl

$\implies(\sf\frac{22}{7}\times 7\times 25)m^{2}$

$\implies(\sf22\times 1\times 25)m^{2}$

$\implies\bf\underline{550m^{2}}$

Therefore, the curved surface area = 550m².

Answer 2

$\: \: \boxed{\boxed{\sf{\mapsto \: Firstly \: Know \: the \: Formula}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed {\mathcal \blue{C.S.A \: \: of \: cone : \: \pi \: r \: l }} \\ \\ \mathcal \blue{r : } \mathsf{radius \: \: \: \: \: \: \: \: \: \: } \\ \\ \mathcal \blue{l : } \mathsf{slant \: height}$

$\mathsf\red{Given : \: }$

$\mathsf{Slant \: height \: of \: cone \: = \: 25 \: m}$

$\mathsf{Diameter \: of \: cone \: = 14 \: m}$

$\mathsf{\therefore \: \: radius \: = \: \frac{d}{2}}$

$\mathsf{radius \: of \: cone \: = \: \frac{14}{2}}$

$\mathsf{radius \: of \: cone \: = \: 7 \: m}$

$\mathsf{}$

$\mathcal\red{C.S.A \: \: of \: cone \: = \: \pi.r.l}$

$\mathsf{= \: \frac{22}{7} \times 7 \times 25}$

$\mathsf{ = \: \frac{22}{ \cancel{7}} \times \cancel{7} \times 25}$

$\mathsf{= \: 22 \times 25}$

$\mathsf{= 550}$

$\boxed{\mathcal\red{\therefore \: \: C.S.A. \: \: = \: 550 \: {m}^{2}}}$