Question

Determine, to the nearest tenth, the surface area of a tin can with a radius of 10 centimeters and a height of 12 centimeters.

Answer 1

1382.3 cm²

Explanation:

We'll assume that we have to find the total surface area, including the areas of the ends.

The area of the side is given by A = 2πr·h and that of each of the ends by A = πr².

Thus, the side area is A = 2π·(10 cm)·(12 cm) = 240π cm² ≅ 754.0 cm²

and double the area of the base is A = 2·π·(10 cm)² = 628.3 cm²

and so the total surface area of the can (including the ends) is 1382.3 cm²