a birthday party hat has a cone shaped top with a radius of 5cm and a height of 12cm what is its volume
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Nursing Elites

HESI A2

HESI A2 Math Practice Test 2023

1. What is the volume of a birthday party hat with a cone-shaped top having a radius of 5cm and a height of 12cm?

Correct answer: C

Rationale: To find the volume of a cone, we use the formula: (1/3) * π * (radius)^2 * height. Substituting the given values: (1/3) * π * (5cm)^2 * 12cm = 150 cu cm. Therefore, the correct answer is C. Choice A, B, and D are incorrect as they do not correspond to the correct calculation using the formula for the volume of a cone.

2. The physician ordered 16 mg of Ibuprofen per kg of body weight; on hand are 80 mg tablets. The child weighs 15 kg. How many tablets will you give?

Correct answer: B

Rationale: To calculate the total dose required for the child, multiply the child's weight (15 kg) by the prescribed dose per kg (16 mg/kg): 15 kg * 16 mg/kg = 240 mg. Next, determine how many tablets are needed to reach this total dose: 240 mg / 80 mg per tablet = 3 tablets. However, since you cannot give a fraction of a tablet, the correct answer is 2 tablets. Choice A is incorrect because it miscalculates the number of tablets needed. Choice C is incorrect because only 1 tablet is not sufficient to reach the required dose. Choice D is incorrect because you cannot give a partial tablet, so it has to be rounded down to the nearest whole tablet.

3. Round to the nearest whole number. Change the fraction to a percent: 17/80 =

Correct answer: B

Rationale: To convert 17/80 to a percent, we divide 17 by 80 to get 0.2125. Multiplying by 100, we get 21.25%. Rounding to the nearest whole number, 21.25% becomes 21%. Choice A (20%) is incorrect because rounding 21.25% down to the nearest whole number gives 21%. Choice C (22%) is incorrect as it is the next whole number after 21. Choice D (23%) is incorrect as it is more than 21.25% and thus rounds up to 22%.

4. Compare: 0.045 is _____ to 0.054.

Correct answer: B

Rationale: The correct answer is B. When comparing 0.045 and 0.054, 0.045 is less than 0.054. Therefore, the correct relation is 'Less than.' Choice A ('Greater than') is incorrect because 0.045 is not greater than 0.054. Choice C ('Less than or equal to') is incorrect because 0.045 is strictly less than 0.054, not less than or equal to. Choice D ('Equal') is incorrect because 0.045 and 0.054 are not equal.

5. A nurse needs to dilute 2 milliliters of a concentrated medication with 8 milliliters of sterile water. What is the final concentration of the solution in percent?

Correct answer: B

Rationale: To find the final concentration, first, calculate the total volume of the solution (2 ml + 8 ml = 10 ml). Then, determine the concentration by dividing the volume of the concentrated medication by the total volume and multiplying by 100%: (2 ml / 10 ml) * 100% = 20%. Therefore, the correct answer is B. Choice A (16.67%) is incorrect as it does not represent the correct calculation. Choices C (25%) and D (50%) are both incorrect as they do not reflect the accurate concentration resulting from the dilution process.

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