HESI A2 Math

Correct Answer: C

Rationale: The total surface area of the fountain consists of the surface area of the spherical base and the lateral surface area of the cylindrical body. To calculate the surface area of the spherical base, we use the formula 4πr^2, where r is the radius of the sphere (25 cm). This gives us 4π(25)^2 = 5000π sq cm. The lateral surface area of the cylindrical body is calculated using the formula 2πrh, where r is the radius (15 cm) and h is the height (80 cm). This gives us 2π(15)(80) = 2400π sq cm. Adding these two areas together gives a total surface area of 7400π sq cm, which is approximately 23256 sq cm. The correct answer, 5486 sq cm, is the closest approximation to the actual total surface area. Choice A is incorrect because it is the surface area of the spherical base only. Choices B and D

Correct Answer: D

Rationale: To calculate the total medication received in 24 hours, we first find out how many doses will be given in 24 hours. Since a dose of 150mg is given every 4 hours, there will be 6 doses in 24 hours (24 hours / 4 hours per dose = 6 doses). Multiplying 150mg by 6 doses gives us 900mg, which is the correct answer (D). Choices A, B, and C are incorrect because they do not take into account the frequency of doses within the 24-hour period.

Correct Answer: A

Rationale: To find the area of a rectangle, you multiply its length by its width. In this case, the length is 12 meters and the width is 10 meters. So, Area = Length x Width = 12m x 10m = 120 square meters. Choice A is correct as it correctly calculates the area. Choices B, C, and D are incorrect as they do not correctly calculate the area based on the given dimensions.

Correct Answer: B

Rationale: To find the number of girls in the school, we first calculate 60% of 500 students: 60/100 * 500 = 0.6 * 500 = 300 girls. Therefore, the correct answer is B: 300 girls. Choice A (250 girls) is incorrect as it represents 50%, not 60%. Choices C (200 girls) and D (350 girls) are also incorrect as they do not reflect the correct calculation of 60% of the total students.

Correct Answer: A

Rationale: To convert grams to pounds, divide the weight in grams by 453.592 (1 pound is approximately equal to 453.592 grams). Therefore, to convert 1,500 grams to pounds, you would do 1500 / 453.592 = 3.30693393, which rounds down to 3.3 pounds (Answer A). The other choices are incorrect as they do not provide the accurate conversion from grams to pounds. Answer A is the correct choice as it is the result of the precise calculation.