Question

The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of white-washing its curved surface at the rate of Rs.210 per 100 sq.m

Answer 1

$\bold\pink{\fbox{\sf{Given:}}}$

$\sf\color{blue}Slant\: height\: of \:conical\: tomb \:(l) =\: 25m$

$\sf\color{red}[Base \:radius\: (r) = \:diameter/2$

$\sf\color{yellow}=\: 14/2 m$

$\sf\color{maroon}=\: 7m$

$\sf\color{indigo}Curved\: surface \:area \:of \:conical\: tomb \:= πrl$

$\sf\color{gold}= (22/7)\:×7\:×25\:$

$\sf\color{purple}=\: 550$

$\sf\color{green}Curved\: surface\: area \:of \:conical \:tomb= 550m2$

$\sf\color{lime}Cost \:of \:white-washing\: 100 \:m2 area\: = Rs\: 210$

$\sf\color{aqua}Cost\: of \:white-washing\: 550 \:m2 \:area \:= Rs\: (210×550)/100$

$\huge\textit{= Rs. 1155}$

$\sf\color{skyblue}Therefore,\: the\: cost \:will \:be \:Rs. 1155\: while\: white-washing \:tomb \:of \:area 550 m2.$

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Answer 2

Given :-

• Slant height of the conical tomb = 25m.

• Base Diameter of the Conical Tomb = 14m.

• The Rate of White Washing its Curved surface area per 100m² = ₹210.

To Find :-

• The Cost of White Washing its Curved Surface Area.

Required Solution :-

•]

$\sf{ \rightarrow{ \pink{csa \: of \: cone = \pi \: r \: h \: }{} }{} }{} \\ \\ \sf{ \rightarrow{csa = \frac{22}{7} \times 7 \times 25}{} }{} \\ \\ \sf{ \rightarrow{csa = 550 {m}^{2} }{} }{} \\ \\ \sf{ \rightarrow{cost \: of \: white \: washing = 550 \times 210}{} }{}$

$\sf{ \rightarrow{ \purple{cost \: of \: whte \: washing = ₹1155 per 100m²}{} }{} }{}$

• Hence the cost of White washing =₹ 1155