you need to repaint a cylindrical water tank with a diameter of 2 meters and a height of 3 meters assuming one can of paint covers 10 sq m how many ca
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HESI A2

HESI A2 Math 2024

1. You need to repaint a cylindrical water tank with a diameter of 2 meters and a height of 3 meters. Assuming one can of paint covers 10 sq m, how many cans do you need to cover only the exterior surface?

Correct answer: C

Rationale: To find the surface area of the cylinder, calculate the lateral surface area using the formula 2πrh, where r is the radius (half of the diameter) and h is the height. Substituting the values, we get 2 * π * 1 * 3 = 6π square meters. Since each can covers 10 sq m, divide the total surface area by the coverage area per can: 6π / 10 ≈ 1.9 cans. Since you can't buy a fraction of a can, you would need to round up, so you would need 2 cans to cover the entire exterior surface. Therefore, you would need 2 * 6 = 12 cans in total. Choices A, B, and D are incorrect as they do not consider the correct surface area calculation or the rounding up to the nearest whole number of cans required.

2. Select the word or phrase in the sentence that is not used correctly: 'Her teacher asked her what would she do after she graduated from nursing school.'

Correct answer: C

Rationale: The correct answer is C. The phrase 'what would she do' is incorrect because in English questions, the word order for modal verbs like 'would' should be 'she would do' instead of 'would she do'. The correct structure should be 'her teacher asked her what she would do after she graduated from nursing school.' Choices A, B, and D are used correctly in the sentence and do not contain any errors.

3. What type of radiation is high-energy electromagnetic radiation that lacks charge and mass?

Correct answer: C

Rationale: Gamma radiation is a form of high-energy electromagnetic radiation that does not possess charge or mass. This type of radiation is commonly used in various fields due to its penetrating ability and lack of charge or mass, making it different from alpha and beta radiation, which consist of charged particles. Therefore, the correct answer is C - Gamma. Choices A and B are incorrect as they refer to alpha and beta radiation, which are composed of charged particles. Choice D, Delta, is not a type of radiation.

4. Select the word or phrase that will make the sentence grammatically correct. The village is not very far _________ the railway station.

Correct answer: B

Rationale: The correct preposition to use in this sentence is 'from.' When referring to the distance between two locations, we use 'from' to indicate the starting point and 'to' to indicate the destination. In this case, the village is not very far from the railway station, showing the distance between the two places. Choice A ('to') is incorrect as it implies the village is far in the direction of the railway station. Choice C ('by') is incorrect as it suggests proximity rather than distance. Choice D ('next') is incorrect as it indicates the location of the village in relation to the railway station, not the distance between them.

5. LABILE also means .

Correct answer: A

Rationale: The word 'labile' is used to describe something that is constantly changing or easily altered. Therefore, the best synonym for 'labile' is 'extremely changing.' Choice B, 'suicidal,' is incorrect as it does not relate to the meaning of 'labile.' Choice C, 'rapidly changing,' is close but not as precise as 'extremely changing.' Choice D, 'with a high fever,' is completely unrelated to the meaning of 'labile.'

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