a ball has a diameter of 7 inches which of the following best represents the volume
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ATI TEAS 7

TEAS Test Practice Math

1. What is the volume of a ball with a diameter of 7 inches?

Correct answer: A

Rationale: To find the volume of a sphere, the formula V = (4/3)πr³ is used, where r is the radius of the sphere. Given that the diameter of the ball is 7 inches, the radius (r) would be half of the diameter, which is 3.5 inches. Plugging this value into the formula: V = (4/3)π(3.5)³ = (4/3)π(42.875) ≈ 165.7 in³. Therefore, the correct answer is A. Choice B, C, and D are incorrect as they do not accurately represent the volume of the ball with a diameter of 7 inches.

2. Which of the following statements represents an EXAGGERATED claim in support of the argument presented in the passage?

Correct answer: D

Rationale: While it is true that studying a foreign language can enhance one's job prospects and competitiveness in the job market, claiming that students who did not study a foreign language often find themselves unable to obtain a job at all is an exaggerated statement. Many factors contribute to employability, and while language skills can be advantageous, they are not the sole determining factor in securing employment.

3. Which part of the hair is not attached to the follicle?

Correct answer: C

Rationale: The correct answer is C, 'Shaft.' The hair shaft is the part of the hair that extends above the skin surface and is not attached to the follicle. The bulb and root are parts that are connected to the follicle as they are located below the skin surface and play a role in hair growth. The strand, on the other hand, refers to a single hair fiber and is not a distinct part of the hair anatomy.

4. Which of the following hormones helps regulate blood pressure by affecting kidney function?

Correct answer: C

Rationale: Renin is the hormone that helps regulate blood pressure by affecting kidney function. It is released by the kidneys in response to low blood pressure or low blood volume. Renin plays a crucial role in the renin-angiotensin-aldosterone system, which is responsible for regulating blood pressure and fluid balance in the body. Insulin, testosterone, and estrogen do not directly impact blood pressure regulation through kidney function. Insulin is involved in regulating glucose metabolism, testosterone is a male sex hormone, and estrogen is a female sex hormone. Therefore, the correct answer is Renin (Choice C) because of its specific role in blood pressure regulation through kidney function.

5. Curtis is taking a road trip through Germany, where all distance signs are in metric. He passes a sign that states the city of Dusseldorf is 45 kilometers away. Approximately how far is this in miles?

Correct answer: C

Rationale: To convert kilometers to miles, you can use the conversion factor of approximately 0.62 miles per kilometer. Therefore, 45 kilometers × 0.62 miles/kilometer = 27.9 miles, which is approximately 28 miles away. Choice A (42 miles), Choice B (37 miles), and Choice D (16 miles) are incorrect as they do not reflect the accurate conversion from kilometers to miles.

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