What's the lateral area of a right cylinder if the radius of the base is 12 mm and the altitude of the cylinder is 5 times the base radius?
well, geez. h = 5r = 60
Now just use your area formula.
i dont know help
To find the lateral area of a right cylinder, we need to determine the curved surface area of the cylinder excluding its bases.
The formula to calculate the lateral area of a right cylinder is:
Lateral Area = 2πrh
Where:
- π is a mathematical constant approximately equal to 3.14159.
- r is the radius of the base of the cylinder.
- h is the height or altitude of the cylinder.
In this case, the radius of the base is given as 12 mm. So, r = 12 mm.
And the altitude of the cylinder is given as 5 times the base radius. Since the base radius is 12 mm, the altitude is 5 * 12 = 60 mm. So, h = 60 mm.
Now, we can substitute the values into the formula and calculate the lateral area:
Lateral Area = 2πrh
Lateral Area = 2 * 3.14159 * 12 mm * 60 mm
Lateral Area ≈ 4523.89 mm²
Therefore, the lateral area of the right cylinder is approximately 4523.89 mm².