Question

A cylindrical container is to be made of tin sheets . The height of the container is 1 metre and diameter is 70 cm if the container is open at the top and tin sheet costs of rupees 30 per metre square .Find the cost of tin sheet for making the container.​

Answer 1

ANSWER:-

Given:

A cylindrical container is to be made of tin sheets.The height of the container is 1m & diameter is 70cm. If the container is open at the top & tin sheet costs of Rs.30m².

To find:

The cost of tin sheet for making the container.

Solution:

⚫Diameter of the base of container, d=70cm.

=) Radius, r= d/2

=) 70/2

=) 35cm

⚫Height of the container, h= 1m.

We know, 1m= 100cm.

Now,

•Area of tin sheet required:

Curved surface area+area of circle base.

•We know formula of CSA;

=) 2πrh

&

•Area of circular base;

=) πr²

Therefore,

$= > 2 \times \frac{22}{7} \times 35 \times 100 + \frac{22}{7} \times 35 \times 35 \\ \\ = > 44 \times 5 \times 100 + 22 \times 5 \times 35 \\ \\ = > 44 \times 500 + 22 \times 175 \\ \\ = > 22000 + 3850 \\ \\ = > 25850 {cm}^{2}$

•Convert in m;

1cm²= 1000m²

=) 2.585m²

So,

⚫Cost of 1m² of tin sheet= Rs.30m²

Cost of 2.585m² of tin sheet;

=) Rs.(30 × 2.585)

=) Rs. 775.50

Hence,

The cost of tin sheet for making the container is Rs.775.50.

Hope it helps ☺️