Question

the length of diameter of a drum made a steel covered with lidbis 28. cm. If 2816 sq cm. steel sheet is required to make the drum, let us write by calculating the height of the drum​

Answer 1

Given:

The length of the diameter of the drum = 28 cm

Area of Steel sheet required to make the drum = 2816 cm²

To find:

The height of the drum

Solution:

The radius of the drum made of steel = $\frac{diameter}{2} = \frac{28}{2} = 14 \:cm$

Since the drum is covered with a lid so the area of the steel sheet given is  the total surface area of the cylindrical drum.

We have the formula as,

• Total Surface Area of a cylinder = [Area of the lid] + [Area of the base] + [CSA ] = πr² + πr² + 2πrh = 2πr(r + h)

Let "h" cm be the height of the drum.

Now, by substituting the given values in the formula we will find the height of the drum

2816 = 2 × $\frac{22}{7}$ × 14 × (14 + h)

⇒ 2816 = 88 × (14 + h)

⇒ 14 + h = $\frac{2816}{88}$

⇒ 14 + h = 32

⇒ h = 32 - 14

⇒ h = 18 cm

Thus, the height of the drum is 18 cm.

-----------------------------------------------------------------------------------------

Also View:

It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square meters of the sheet are required for the same?

https://brainly.in/question/1429709

Find the area of the metal sheet required to make a closed hollow cone of height 24 cm and base radius 7 cm. Also find the capacity of the cone.

https://brainly.in/question/2355105

Find the area of the sheet required to make a cylindrical container which is open at one side and whose diameter is 28 cm and height is 20 cm. Find the approximate area of the sheet required to make a lid of height 2 cm for this container.

https://brainly.in/question/4742226

Answer 2

I think that you understand this math