Question

Solve
A conical tent is 24m high and radius of its base is 7m. Find
slant height of the tent.please solve the problem ​

Answer 1

$\huge \sf \underline \red{Answer : }$

$\sf \underline{ \therefore \: slant \: height \: of \: tent \: is \: 25m}$

$\huge \sf \underline \pink{Given : }$

• A conical tent is 24m high

• Radius of its bases is 7m

$\huge \sf \underline \blue{To \: find : }$

• slant height of the tent

$\huge \sf \underline \orange{solution : }$

$\sf \underline{Given : }$

• Height (h) = 24m

• Radius (r) = 7m

$\sf \underline{let \: slant \: height \: be \: l}$

$\: \: \: \: \: \sf \underline{we \: know \: that}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \boxed{ \underline{ \underline{ \red{ \tt{ {l}^{2} = {h}^{2} + {r}^{2} \: }}}}} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \implies \: {l}^{2} = {(24)}^{2} + {(7)}^{2} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \implies \: {l}^{2} = 576 + 49}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \implies \: {l}^{2} =625 }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \implies \: {l} =625 }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \implies \: {l} = \sqrt{625} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \implies \: {l} = \sqrt{25 {} \: ^{2} } }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \implies \: {l} = {25m {} \: } }$

$\sf \underline{ \therefore \: slant \: height \: of \: tent \: is \: 25m}$

_____________________________________________________

$\sf \huge \underline{diagram : }$

$\setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(18,1.6){\sf{r = 7}}\put(9.5,10){\sf{h = 24}}\end{picture}$

Answer 2

eheudnc8ejndsindd8nxjdmdidjncjxndndjsjwosknxnxnwisjxnxnjdjdncnejejds