Question

A cylinder has a radius of 2cm and a hight of 3cm

the question is William wants to wrap this cylinder as a present for his grandma. Wrapping paper costs $0.03 per square centimeter. How much would it cost William to wrap his present? Use 3.14 for pi.

Answer 1

To wrap a cylinder with a radius of 2cm and a height of 3cm, William would need to calculate the total surface area and multiply it by the cost per square centimeter. The total surface area is 62.80cm² and, at $0.03 per square centimeter, it would cost him $1.884.

Step-by-step explanation:

Cost of Wrapping a Cylinder

To calculate the cost of wrapping a cylinder, William needs to find the surface area that he has to cover with wrapping paper.

The surface area of a cylinder can be found using the formula A = 2πrh + 2πr², where π is Pi (approximated as 3.14), r is the radius, and h is the height of the cylinder.

Firstly, we calculate the lateral surface area (the side of the cylinder) using 2πrh:

2 × 3.14 × 2cm × 3cm = 37.68cm².

Next, we calculate the area of the two bases, using 2πr²:

2 × 3.14 × (2cm)² = 25.12cm².

Adding these together gives the total surface area, which is 37.68cm² + 25.12cm² = 62.80cm².

Finally, to find the cost, we multiply the total surface area by the cost per square centimeter of wrapping paper: 62.80cm² × $0.03/cm² = $1.884.

So, it will cost William $1.884 to wrap his present.