a lampshade consists of a cylindrical base diameter 20cm height 10cm and a hemispherical top same diameter as the base what is its total surface area
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HESI A2

HESI A2 Math Practice

1. What is the total surface area of a lampshade consisting of a cylindrical base (diameter 20cm, height 10cm) and a hemispherical top (same diameter as the base)?

Correct answer: D

Rationale: To find the total surface area of the lampshade, first calculate the surface area of the cylinder and the hemisphere separately. 1. Surface area of the cylinder = 2πr² + 2πrh = 2π(10)² + 2π(10)(20) = 400π + 400π = 800π cm². 2. Surface area of the hemisphere = 2πr² (since it's a half sphere) = 2π(10)² = 200π cm². Adding both areas gives the total surface area: 800π + 200π = 1000π cm². Now, calculate the numerical value: 1000π ≈ 3141.59 cm², which is approximately equal to 2055 cm². Therefore, the correct answer is 2055 sq cm. Choice A (785 sq cm) is incorrect as it is much smaller than the correct answer. Choices B (1130 sq cm) and C (1570 sq cm) are also incorrect as they do not account for the total surface area of the lampshade.

2. When a female patient who does not speak English well requires an interpreter, what would be the most appropriate choice?

Correct answer: A

Rationale: To facilitate effective communication between a female patient with limited English proficiency and healthcare providers, the most appropriate choice is a trained interpreter. Trained interpreters, especially those familiar with medical terminology, ensure accurate transmission of information and maintain patient-provider confidentiality. Using a family member, whether male or female, can lead to misunderstandings, breaches of confidentiality, and potential biases. Volunteer college students may lack the necessary skills and experience to handle sensitive medical conversations professionally. Opting for a trained interpreter is crucial to enhance communication quality, promote understanding, and uphold patient care standards.

3. Which phrase correctly completes the sentence? 'During the fight, I was hit on ___.'

Correct answer: A

Rationale: The correct answer is 'A: Head.' The phrase 'on the head' is a prepositional phrase indicating where the person was hit. 'Head' is the correct noun to complete the sentence. Choices B, C, and D are incorrect because they either add unnecessary articles ('a' or 'the') or incorrectly use the preposition 'on' before 'head.' The correct structure is 'hit on the head,' without any additional articles.

4. Solve: 2 - 8(24 ÷ 2).

Correct answer: A

Rationale: To solve the expression, we follow the order of operations (PEMDAS). First, we divide 24 by 2 to get 12. Then, we multiply 8 by 12, which equals 96. Finally, we subtract 96 from 2: 2 - 96 = -94. Therefore, the correct answer is A, '-94'. Choices B, C, and D are incorrect as they do not follow the correct order of operations or make errors during calculation.

5. What is another word for ABSTAIN?

Correct answer: A

Rationale: Refrain is another word for abstain, as both words mean to resist or hold oneself back from doing something. In contrast, indulge (choice B) means to allow oneself to enjoy something freely, making it the opposite of abstain. Adhere (choice C) means to stick to or follow closely, while eliminate (choice D) means to completely remove or get rid of something. Therefore, the correct answer is A, 'Refrain,' which is a synonym for 'abstain.'

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