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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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. If 5 g of NaCl (1 mole of NaCl) is dissolved in enough water to make 500 L of solution, what is the molarity of the solution?

Correct answer: C

Rationale: Molarity is defined as the number of moles of solute per liter of solution. In this case, 5 g of NaCl represents 1 mole of NaCl. Given that this 1 mole is dissolved in 500 L of solution, the molarity of the solution can be calculated as follows: Molarity = moles of solute / liters of solution = 1 mole / 500 L = 0.002 M. However, the molarity is usually expressed in moles per liter, so to convert to M, you divide by 0.085 L (which is 500 L in liters) to get 11.7 M. Choice A is incorrect because the molarity is not 1.0 M. Choice B is incorrect because the molarity is not 2.0 M. Choice D is incorrect because the molarity can be determined from the information provided.

3. The author's reason for writing this piece seems to be to

Correct answer: D

Rationale: The author likely wrote this piece to inform the reader because the content is focused on providing information about the Golden Gate Bridge's history, construction, and significance. The text presents facts and details without attempting to persuade or entertain. The main purpose appears to be sharing useful or educational information rather than teaching, persuading, or entertaining.

4. What is another word for toxin?

Correct answer: D

Rationale: The correct answer is D, Poison. A toxin is a harmful substance that can cause illness or death, and poison is a synonym commonly used to refer to such substances. Choices A, B, and C are incorrect because impurity refers to something being dirty or unclean, an element is a pure substance that cannot be broken down further, and a remedy is a solution or treatment for a problem, not a harmful substance like a toxin.

5. He tried to remember the names of all the people who were there that night.

Correct answer: B

Rationale: The word 'that' is the correct relative pronoun to use in this context to refer to the people who were present that night. 'Whom' is used for objects of a verb or preposition, 'which' is used for things, and 'whose' is a possessive pronoun.

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