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Question

A storage tank consists of a circular cylinder with a hemisphere adjoined on either end. If the external diameter of the cylinder by 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.

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Solution

In the given problem, we are given a storage tank which consists of a circular cylinder with a hemisphere adjoined on either side.

So here,

External diameter of the cylinder = 1.4 m

External radius of the cylinder = m

m

Height of the cylinder = 8 m

Now, we find the total surface area of the storage tank.

Total surface area = Surface area of cylinder + surface area of the hemisphere

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

Now, the rate of painting the storage tank on outside = Rs 10 per m2

So, the cost of painting the storage tank on outside =

Therefore, the cost of painting the storage tank on outside is


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