An oil drum is in the shape of a cylinder having the following dimensions: Diameter , height . The painter charges Rs. 3 per to paint the drum. The total charge to be paid to the painter for 10 drums is Rs. ____.

Question

An oil drum is in the shape of a cylinder having the following dimensions: Diameter , height . The painter charges Rs. 3 per to paint the drum. The total charge to be paid to the painter for 10 drums is Rs. ____.

Accepted Answer

Concept- The total charge to be paid is Rs. 1508.57. We must determine the entire amount paid to the painter for painting in the drum. The drum is cylinder-shaped, with a diameter of 2.0m and a height of 7m. First, we must calculate the surface area of the drum. The cost is then calculated by multiplying the specified cost by the surface area of the drum.
It is given that,
Diameter

Height

The drum is shaped like a cylinder. As a result, we shall apply the cylinder formula.
Question Image

First, we'll calculate the overall surface area of the drum.
So, here is the formula for computing a cylinder's total surface area.

We shall compute the radius first because we only have the diameter. So,
radius

So, radius

Radius

Now, taking

Now, putting the value of radius (

, height (

) and

in the above formula:

Substituting the corresponding values, we get

On solving it further, we will get

The total surface area of drum

As, mentioned in the question that painter charges Rs. 3 per

for the drum
We will calculate the cost of the painter to be paid for

So, for

the cost of the painter is

For

the area of drum, the cost of painter will be

So, cost to be paid for one drum

We have to calculate the cost for 10 drums

On solving we will get,

.
After simplification of the above fraction, we will get the cost to be paid for 10 drums

(approx)

The total charge to be paid to the painter for 10 drums is Rs. 1508.57
Hence, the answer is Rs. 1508.57.

An oil drum is in the shape of a cylinder having the following dimensions: Diameter , height . The painter charges Rs. 3 per to paint the drum. The total charge to be paid to the painter for 10 drums is Rs. ____.

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