Question

The medicine capsule shown consists of a cylinder with a hemisphere at each end. The total length of the capsule is 18 millimeters. The diameter is 7 millimeters. Which choice is the best approximation of the total surface area of the capsule? Use 3.14 to approximate pi.

Answer 1

395.64 mm² . . . . . or . . . . . 3.9564 cm²

Explanation:

The total surface area is that of a sphere of diameter 7 mm and the lateral area of a cylinder 11 mm long and 7 mm in diameter. An appropriate formula is ...

... A = 4π(d/2)² +πdh

... = πd(d +h)

... = 3.14×(7 mm)×(18 mm) = 395.64 mm²