Given:
diameter: 7 mm
total length = 18 mm
There are two shapes in this problem.
1) a sphere
2) a rectangle shaped cylinder
We need to get the area of both shapes to have the best approximation of the total surface area of the capsule.
Area of a sphere = 4 π r² = 4 3.14 (3.5mm)² = 12.56 12.25mm²
Area of a sphere = 153.86 mm²
Area of a rectangle = length width
in this case, we need to compute for the circumference of the circle to get the measure of the width
Area of a rectangle = (18-7mm) 7 3.14
Area of a rectangle = 11mm 7mm * 3.14
Area of a rectagnle = 241.78 mm²
Total surface area = 153.86 mm² + 241.78 mm² = 395.64 mm²
Choice A.) 396 square millimeters.
