Q. 245.0( 1 Vote )

A storage tank consists of a circular cylinder with a hemisphere adjoined on either end. If the external diameter of the cylinder be 1.4 m and its length be 8 m, find the cost of painting it on the outside at the rate of Rs. 10 per m2.

Answer :

The figure is given below:



Concept Used:


The curved surface area of a cylinder = 2πrh


The curved surface area of hemisphere = 2πr2


Given: External Diameter of the cylinder = 1.4 m


Length of the cylinder = 8 m


Cost of painting on the outside = Rs. 10 per m2


Explanation:



Thus r = 0.7m and h = 8m


Total curved surface area of the tank = 2πrh + 2πr2


Total curved surface area


Therefore, the total surface area of the storage tank is 38.28 m2.


Cost of painting it on the outside at the rate of Rs. 10 per m2 =


38.28 × 10 = Rs. 382.80


Hence, the cost of painting the storage tank from the inside is Rs. 382.80.


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