Question

Find the service area of a cylinder with a base diameter of 6ft and height of 4ft

Answer 1

The service area of the cylinder is 42$\pi$ square fts.

What is cylinder?

Two parallel bases joined by a curving surface make up the three-dimensional solid known as a cylinder.

Typically, the bases are shaped like circles. The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.

The uses of cylinder are-

• A popular piece of scientific equipment used to determine the volume of a liquid is a graduated cylinder, sometimes referred to as a measuring cylinder or mixing cylinder.
• Its form is slender and cylindrical. The measured amount of liquid is shown by each marked line on the graduated cylinder.

Total surface area of the cylinder formula:

It is the sum of the base surface area and the lateral surface area;

Total area = base area + lateral area , or

Total area = 2 π r² + (2 π r) h , or

Total area = 2 π r (r + h)

Calculation for the total area of the cylinder;

Base diameter is 6 ft

Radius is 6/2 = 3 ft

Height is 4 ft

Total area = 2$\pi$3(3 + 4)

                 = 6$\pi$×7

                 = 42$\pi$

Therefore, the total surface area of the cylinder is 42$\pi$ square fts.

To know more about the surface area of the cylinder, here

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