Question

A closed steel cylindrical container has a diameter of 186 mm, and its height is 1/3 of its base radius. (i) Find the total surface area of the container, giving your answer in square centimeters. a) 108,756 cm² b) 55,596 cm² c) 36,864 cm² d) 72,636 cm²

Answer 1

The total surface area of the given steel cylindrical container, calculated using the given diameter and height, is approximately 721.04 cm². This value does not match with any of the provided options.

Step-by-step explanation:

The question is asking for the total surface area of a closed steel cylindrical container. Given the diameter, we get the radius as half of the diameter. The height is given as 1/3 of the base radius. The formula for the total surface area of a cylinder is 2πr(h + r), where r is the radius and h is the height of the cylinder.

First, convert the diameter from millimeters to centimeters; 186 mm is equivalent to 18.6 cm. The radius, therefore, is half of this, which is 9.3 cm. The height, being 1/3 of the base radius, will be 9.3/3 = 3.1 cm. Substituting these values into the formula, we get: 2 * π * 9.3 * (3.1 + 9.3) which gives us 721.04 cm².

However, none of the options exactly match 721.04 cm². It is possible the options provided are incorrect, or there may be a mistake in the question or in the calculations.

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