Explanation:
To find the volume and surface area of the small cylindrical container, we need to use the formulas for the volume and surface area of a cylinder.
The volume of a cylinder is given by the formula:
V = πr^2h
where r is the radius of the cylinder and h is the height. Since the diameter of the cylinder is 280 mm, the radius is half of that, or 140 mm. Therefore, we can write:
r = 140 mm
h = 50 mm
Substituting these values into the formula for the volume of a cylinder, we get:
V = π(140 mm)^2(50 mm)
V ≈ 3082965 mm^3
So, the volume of the small cylindrical container is approximately 3082965 cubic millimeters.
The surface area of a cylinder is given by the formula:
A = 2πrh + 2πr^2
Substituting the values of r and h that we found earlier, we get:
A = 2π(140 mm)(50 mm) + 2π(140 mm)^2
A ≈ 659441 mm^2
So, the surface area of the small cylindrical container is approximately 659441 square millimeters.