a birdbath has a hemispherical bowl with a diameter of 30cm what is its volume
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HESI A2

HESI A2 Practice Test Math

1. A birdbath has a hemispherical bowl with a diameter of 30cm. What is its volume?

Correct answer: C

Rationale: To find the volume of a hemispherical bowl, we use half the formula for a sphere's volume: (2/3) * π * (radius)^3. Given the diameter is 30cm, the radius is half of that, which is 15cm. Substitute the radius into the formula: (2/3) * π * (15cm)^3 ≈ 2700 cu cm. Therefore, the correct volume is approximately 2700 cu cm. Choices A, B, and D are incorrect as they do not correctly calculate the volume of the hemispherical bowl.

2. Write the date 2007 in Roman numerals.

Correct answer: A

Rationale: In Roman numerals, the date 2007 is correctly represented as MMVII. The Roman numeral M stands for 1000, and when repeated twice (MM), it represents 2000. The Roman numeral V represents 5, and when followed by II (two ones), it correctly represents 2007. Choice B (MDVII) is incorrect because D represents 500, and 2007 is greater than that. Choice C (MMDII) is incorrect because D represents 500, and there are two of them, making it 1000, not 2000. Choice D (MMXD) is incorrect as XD is an invalid Roman numeral combination.

3. What is the average of the numbers 14, 73, and 7?

Correct answer: D

Rationale: The correct answer is D. Adding 14 + 73 + 7 gives a total of 94. To find the average, we divide the sum by the number of values (3), which equals 31.33. Rounding this average to two decimal places gives us 31.33, which corresponds to option D. Choices A, B, and C are incorrect as they do not correctly calculate the average of the given numbers. Choice A is close to the sum of the numbers, not the average. Choices B and C are also not correct averages calculated from the provided numbers.

4. What temperature in Fahrenheit is 50°C? (Enter numeric value only. If rounding is necessary, round to the nearest whole number.)

Correct answer: B

Rationale: To convert from Celsius to Fahrenheit, use the formula: F = (C × 9/5) + 32. Substituting 50°C: F = (50 × 9/5) + 32 = 122°F. Therefore, 50°C is approximately 122°F. Choices A, C, and D are incorrect because they do not reflect the accurate conversion of 50°C to Fahrenheit.

5. Convert 63 grams to mg.

Correct answer: C

Rationale: To convert grams to milligrams, you need to multiply by 1000 since there are 1000 milligrams in a gram. So, to convert 63 grams to milligrams, you would calculate 63 * 1000 = 63,000 milligrams. Therefore, the correct answer is 63,000 mg. Choice A (630 mg) is incorrect as it would be the converted value if the original amount was 0.63 grams. Choice B (63 mg) is incorrect as it is the same value as the original grams. Choice D (63,000 mg) is incorrect as it is the same as the correct answer, but with a comma which is not standard when expressing numerical values.

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