surface area of a cylinder with a radius of 4m and a height of 10m
MathBot Answer:
The surface area of a cylinder is .
Note: Approximate solutions are rounded to the nearest hundredths place.
Given:
Surface area
The surface area of a cylinder is given by the equation: where is surface area, is radius, and is height.
Solution:
A right cylinder is a three dimensional solid with two parallel, congrugent flat faces and one curved surface. The circular faces are the base and top of a cylinder. The radius r is the distance between the center of the base and any point on the circumference of the base. The diameter d is twice the radius, forming a line segment passing through the center of the base. The height h is the perpendicular distance between the base and the top.
The (base) circumference C, or base perimeter PB, of a cylinder is the distance around the base.
The base area AB of a cylinder is the region enclosed inside the base.
The lateral surface area AL of a cylinder is the area of the curved surface, flattened to be a rectangle with the base being the circumference of a cylinder and the height being the height of a cylinder.
The surface area S of a cylinder is the region occupied by its base, top, and curved surface.
The volume V of a cylinder is the amount of space it occupies.