Entire surface area of a cylinder = (2*pi*radius^2)+(circumference*height) If you are given the circumference then radius = circumference/2*pi
The surface area of a cylinder can be derived from the area of rectangle. If you 'unroll' a cylinder you have a shape of a rectangle, similar to a sheet of paper. The width of the rectangle will be the height of the cylinder and the length of the rectangle will be the circumference of the cylinder end.So, Area = length * widthwhere, width = height of cylinder & length = circumference of cylinder end = PI*(Diameter of cylinder)Therefore,surface area of a cylinder = (PI)*(diameter of cylinder)*(height of cylinder)Hope that helps!
Take the circumference and multiply it by it's height to get the lateral surface area.
Find the radius by dividing the circumference by 2pi then find the area of the base and multiply it by the height
The surface area of a closed cylinder is equal to (2 times the area of the base) plus (the height times the circumference of the base)
We assume the surface area of a cylinder excluding its ends. Area = height of cylinder multiplied by circumference. That is A = h x Pi x diameter.
Find the circumference of the circles (the ends) and multiply it by the height of the cylinder. Then add that to the area of the ends.
Divide the surface area by the circumference of the circle, which is a product of the diameter x Pi. Essentially, an unrolled cylinder is a rectangle.
diameter X pi = circumference circumference X height = area
Imagine taking the ends off the cylinder, cutting the side down from end to end and unrolling the side; this creates a rectangle with the height of the cylinder along one edge and the circumference of the end along the other. Thus area of side = circumference × height. The ends of the cylinder are circles, thus: area = π × radius² → radius = √(area ÷ π) circumference = 2 × π × radius → circumference = 2 × π × √(area ÷ π) = 2 × √(area × π) → area side = 2 × √(area × π) × height → surface area of cylinder = 2 × area ends + area side → surface area = 2 × 11 units² + 2 × √(11 units² × π) × 11 units → surface area = 22 + 22 × √(11π) units² → surface area ≈ 22 + 129.33 units² ≈ 151 units²
The circumference is 24*Pi yards.The surface area = circumference x heightthereforeheight = surface area / circumference = 1206 sq.yd. / 24*Pi yd. = 15.9951 yards or 16 yards (rounded).
The surface area of a cylinder with a radius of 15in and a height of 34in is 4,618.14in2