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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 (ii) radius of the base.

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

            (ii) radius of the base.

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The inner curved surface area of the cylindrical vessel = 110\ m^2

Height of the cylinder = h = 10\ m

Let the radius of the circular base be r \ m

\therefore The inner curved surface area of the cylindrical vessel = 2\pi r h

\\ \Rightarrow 2\times\frac{22}{7}\times r \times10 = 110 \\ \Rightarrow 44\times r = 11\times7 \\ \Rightarrow 4\times r = 7 \\ \Rightarrow r = \frac{7}{4} = 1.75\ m

Therefore, the radius of the base of the vessel is 1.75 \ m

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