A square piece of paper 10 cm on a side is rolled to form the lateral surface area of a cylinder and then a top and bottom are added.

What is the surface area of the cylinder? (Write in terms of pi using symbol)

Question

Mathematics

Camryn Spencer

6 September, 05:17

A square piece of paper 10 cm on a side is rolled to form the lateral surface area of a cylinder and then a top and bottom are added.

What is the surface area of the cylinder? (Write in terms of pi using symbol)

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Answers (1)

Know the Answer?

Justus Hess · Answer 1

The surface = pi*10cm2

Step-by-step explanation:

The area of any rectangle is Base * Height,

We know that the square originally has 10cm High, when is rolled to form a cylinder, it's new shape has a bottom side that is equals to a circle.

The length of a circle is 2*pi*Radio = pi*Diameter.

Since the square has the same length in each side, we know that pi*Diameter = 10cm*pi

The surface (area) of the cylinder is = Base * Height = 10cm*10cm*pi

A square piece of paper 10 cm on a side is rolled to form the lateral surface area of a cylinder and then a top and bottom are added.What is the surface area of the cylinder? (Write in terms of pi using symbol)

A square piece of paper 10 cm on a side is rolled to form the lateral surface area of a cylinder and then a top and bottom are added.

What is the surface area of the cylinder? (Write in terms of pi using symbol)