a pressure vessel has a cylindrical body diameter 10cm height 20cm with hemispherical ends same diameter as the cylinder what is its total surface are
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HESI A2

HESI A2 Quizlet Math

1. A pressure vessel has a cylindrical body (diameter 10cm, height 20cm) with hemispherical ends (same diameter as the cylinder). What is its total surface area?

Correct answer: D

Rationale: To find the total surface area, we need to calculate the surface area of the cylindrical body and both hemispherical ends separately. The surface area of the cylinder is the sum of the lateral surface area (2πrh) and the area of the two circular bases (2πr^2). For the hemispheres, the surface area of one hemisphere is (2πr^2), so for two hemispheres, it would be (4πr^2). Given that the diameter of the cylinder and hemispherical ends is 10cm, the radius (r) is 5cm. Calculating the individual surface areas: Cylinder = 2π(5)(20) + 2π(5)^2 = 200π + 50π = 250π. Hemispheres = 4π(5)^2 = 100π. Adding these together gives a total surface area of 250π + 100π = 350π cm^2, which is approximately equal to 2055 sq cm. Therefore, the correct answer is D. Choice A (785 sq cm) is incorrect as it is significantly lower than the correct calculation. Choices B (1130 sq cm) and C (1570 sq cm) are also incorrect as they do not reflect the accurate surface area calculation for the given dimensions.

2. What is the meaning of the phrase 'phased in' as it is used in the third paragraph?

Correct answer: C

Rationale: 'Phased in' means implemented in stages, referring to the gradual implementation of good manufacturing practices. In the provided extract, it mentions that requirements for good manufacturing practices (GMPs) were phased in for small manufacturers through 2010, indicating a gradual implementation process. The other choices, 'stunned into silence,' 'confused,' and 'legalized,' do not accurately reflect the meaning of 'phased in' in the context of the paragraph.

3. Which statement would not be inferred by the reader in the passage about Hypertension?

Correct answer: B

Rationale: The correct answer is B. The passage clearly states that there are treatments for hypertension, so the statement that there is presently no reliable treatment for hypertension cannot be inferred from the text. Choice A can be inferred from paragraph 3 where it mentions losing weight to decrease blood pressure. Choice C can be inferred from paragraph 1 where it states that African Americans are more likely to have hypertension. Choice D can be inferred from paragraph 2 where it explains that older people are most often diagnosed with hypertension due to changes in blood vessels as they age.

4. What is the primary function of enzymes?

Correct answer: B

Rationale: Enzymes function to speed up reactions by lowering the activation energy required for the reaction to occur. They act as biological catalysts, providing an alternative pathway for the reaction to proceed more rapidly without being consumed in the process. Choices A, C, and D are incorrect because enzymes do not provide energy for reactions (they do not generate energy), their primary function is not to decrease activation energy (though they do lower it), and while they act as catalysts, the primary function is to speed up reactions by lowering activation energy.

5. On the periodic table, where are atoms with the largest atomic radius located?

Correct answer: C

Rationale: Atoms with the largest atomic radius are located at the bottom of their group on the periodic table. This is because atomic radius increases down a group due to the addition of more energy levels or shells of electrons. As you move down a group, the outermost electrons are further away from the nucleus, leading to an increase in atomic radius. Choice A 'At the top of their group' is incorrect because atomic radius decreases going up within a group. Choice B 'In the middle of their group' is incorrect as the atomic radius generally increases as you go down a group, not in the middle. Choice D 'Along the right-hand side' is incorrect because atomic radius tends to decrease from left to right across a period on the periodic table due to increased nuclear charge and effective nuclear charge.

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