7. A cylindrical tank has a capacity of 6160 cu cm. Find its depth if its radius is 14 m. Calculate the cost of
painting its curved outer surface at the rate of 3 per square metre.
Take t =
22/7
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Answer:
The cylindrical tank has a capacity of 6160 cm^3 and its radius is 14cm
Let the depth of the tank be h cm..
so , According to the question....
\begin{gathered}\pi \times {14}^{2} \times h = 6160 \\ or \: \: h = \frac{6160 \times 7}{14 \times 14 \times 22} \\ or \: \: h = 10cm\end{gathered}
π×14
2
×h=6160
orh=
14×14×22
6160×7
orh=10cm
so the depth is 10cm
so the curved surface area is =(2× 22/7 ×14×10)cm^2
=880cm^2
At the rate of rs 3per square meter it will cost...
=(880×3)=2640rs
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