A cosmetics company that makes small cylindrical bars of soap wraps the bars in plastic prior to shipping. Find the surface area of a bar of soap if the diameter is 5 cm and the height is 2 cm

A cosmetics company that makes small cylindrical bars of soap wraps the bars in plastic prior to shipping. Find the surface area of a bar of soap if the diameter is 5 cm and the height is 2 cm

70.65 cm²

50.3 cm²

31.9 cm²

62.8 cm²

1 answer

The surface area of a cylinder can be calculated using the formula: 2πrh + 2πr^2, where "r" is the radius of the circular base and "h" is the height of the cylinder.

Given that the diameter of the soap bar is 5 cm, the radius would be half of that, which is 2.5 cm. The height is given as 2 cm.

Surface area = 2π(2.5)(2) + 2π(2.5)^2
Surface area = 5π + 12.5π
Surface area = 17.5π
Surface area ≈ 55.03 cm²

So, the closest answer is 50.3 cm².