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It costs Rs 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per m^2, find (iii) capacity of the vessel.

Q : 5    It costs Rs 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per \small m^2, find

             (iii) capacity of the vessel.

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(iii) Height of the cylinder = h = 10\ m

Radius of the base of the vessel =  r =1.75 \ m

\therefore Volume of the cylindrical vessel = \pi r^2 h

\\ = \frac{22}{7}\times (1.75)^2 \times10 \\ = 22\times2.5\times1.75\times10 \\ = 55\times17.5 \\ = 96.25 \ m^3

Therefore, the capacity of the cylindrical vessel is 96.25 \ m^3

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