the cost of painting 15 cylindrical pillars of a building at rupees 250 square per m if the diameter and height of each pillar are 48 cm and 7 meter respectively is
Answers
Answer:
$$\begin{lgathered}Cost\:of \:15\: cylindrical\\pillars = Rs\:396\end{lgathered}$$
Step-by-step explanation:
$$\begin{lgathered}Dimensions \:of \: a\\ \:each\: cylindrical\:pillar:\end{lgathered}$$
$$\begin{lgathered}Diameter (d)=48\:cm\\Radius(r)=\frac{d}{2}\\=\frac{48}{2}\\=24\:cm\\=0.24\:m\end{lgathered}$$
$$Height (h)=7\:m$$
$$\begin{lgathered}Area\: of \: painting \: one \: pillar \\=2\pi rh\end{lgathered}$$
$$\begin{lgathered}Area\: of \: painting \: 15\:such \: pillars\\=15\times 2\pi rh\\=15\times 2\times \frac{22}{7}\times 0.24\times 7\\=158.6 \:m^{2}\end{lgathered}$$
$$\begin{lgathered}Cost\:of\: painting \\1\:m^{2} = Rs\:2.50\end{lgathered}$$
$$\begin{lgathered}Cost\:of\: painting \\158.5\:m^{2} = Rs\:2.50\times 158.5\\=Rs\:396\end{lgathered}$$
Therefore,
$$\begin{lgathered}Cost\:of \:15\: cylindrical\\pillars = Rs\:396\end{lgathered}$$
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