Test of Essential Academic Skills (TEAS) ATI Mathematics Practice Test

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Given a can with a radius of 1.5 inches and height of 3 inches, what is the best estimate of its volume?

17.2 in³
19.4 in³
21.2 in³
23.4 in³

The correct answer is: 21.2 in³

To determine the volume of a cylinder, the formula used is Volume = πr²h, where r is the radius and h is the height. Given the can's radius of 1.5 inches and height of 3 inches, we can substitute these values into the formula: 1. Calculate the area of the base: r² = (1.5 in)² = 2.25 in². 2. Now, multiply this area by the height: Volume = π × 2.25 in² × 3 in. 3. This simplifies to: Volume = 6.75π in³. Using the approximation of π as approximately 3.14: Volume ≈ 6.75 × 3.14 ≈ 21.165 in³. Therefore, when rounding to one decimal place, the volume is approximately 21.2 in³. This makes the provided answer of 21.2 in³ the best estimate of the can's volume, as it aligns closely with the detailed calculation based on the physical dimensions given. The other options, while they may result from different calculations or approximations, do not accurately reflect the volume derived from the formula applied to the specific values