What is minimum surface area of cylinder?

The minimum surface area of a cylindrical can that holds 255 cubic centimeters is approximately 222.61 square centimeters. The radius that will result in the minimum surface area is approximately 3.4365 centimeters and the corresponding height is Y2(3.4365) 6.873 centimenters.

How do you find the smallest surface area of a rectangular prism?

For a square-based prism with a given volume, the minimum surface area occurs when the prism is a cube. Given a volume, you can find the dimensions of a square-based prism with minimum surface area by solving for s in the formula V = s3, where V is the given volume and s is the length of a side of the cube.

Which prism has the least surface area?

cube
In general, the cube is the rectangular prism with the least amount of surface area for its volume.

How do you find the minimum surface area of a cylinder?

Determine the minimum surface area. The answer is 96 π. Volume of Cylinder, V = π r 2 h = 128 π (eq1) Surface Area of Cylinder, S A = 2 π (r 2 + r h) (eq2)

What is the volume of the closed cylindrical container?

A closed cylindrical container has a capacity of 128 π m 3. Determine the minimum surface area. The answer is 96 π. Volume of Cylinder, V = π r 2 h = 128 π (eq1)

Which shape has the smallest surface area for a given volume?

A square is the rectangle with the smallest perimeter for a given area, and revolving it to make a cylinder gave us the cylinder with the smallest surface area for a given volume. Proving that is “left as an exercise for the reader.”]

How do you find the circumference of a cylinder?

To get the circumference, simply multiply the radius by 2π. So, the circumference can be found by multiplying 3 centimeter (1.2 in) by 2π. 3 centimeter (1.2 in) x 2π = 18.84 centimeter (7.4 in). 3 Multiply the circumference of the circle by the height of the cylinder.