lateral surface area of a cylinder with a base of 6mm and 9mm tall
To calculate the lateral surface area of a cylinder, you need to find the circumference of the base and multiply it by the height of the cylinder.
The circumference of a circle can be found using the formula: circumference = 2πr, where r is the radius of the base (half of the diameter).
Given that the base has a diameter of 6mm, the radius (r) would be half of that, which is 6mm/2 = 3mm.
So, the circumference of the base would be: circumference = 2π(3mm) = 6π mm.
Next, you multiply the circumference by the height of the cylinder, which is 9mm.
Therefore, the lateral surface area of the cylinder would be: 6π mm * 9mm = 54π mm².
Note that the result is given as an exact multiple of π since the dimensions provided are in millimeters. If you need an approximate numerical value, you can use 3.14 or the π button on your calculator.