ok it asks me 2 find the lateral area of the cylinder ( the radius is 5 n the hight is 5) can some 1 help me with this please
392.5
Prinness, I think that 392.5 is pi*r^2*h, or the volume of the cylinder. This question asks for the lateral area.
Lateral area is the area of the side of the cylinder, not of one of the circles at the ends. Picture standing the cylinder on its end like a soup can, and cutting down the side from one end to the other in a vertical line. If you were to remove the ends and flatten out that side of the can, you would get a rectangle with the same height as the original cylinder and a length that is the same as the circumference of one of the ends.
This means that the formula you want to use
is Lateral area = (height)(circumference)
= h * (2*pi*r)
To find the lateral area of the cylinder, you need to multiply the height of the cylinder by the circumference of one of the circular bases. The formula for the lateral area of a cylinder is:
Lateral area = height x circumference
Given that the radius of the cylinder is 5 and the height is also 5, you can calculate the lateral area as follows:
1. Calculate the circumference of the circular base using the formula C = 2πr. Substituting the radius with 5, you get C = 2π(5) = 10π.
2. Multiply the circumference by the height to find the lateral area. Using the height of 5 and the circumference of 10π, the lateral area is 5 x 10π = 50π.
So, the lateral area of the cylinder with a radius of 5 and a height of 5 is 50π, or approximately 157.08 units².