AnswersReading HS- Integrated Math IUnit Test

Unit Test — Unit test Answers

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How does the volume of an oblique cone change if the height is reduced to of its original size and the radius is doubled? A. B. C. D. Please select the best answer from the choices provided

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Analyze the diagram below and complete the instructions that follow.The two pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.A.B.C.D.

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Analyze the diagram below and complete the instructions that follow.The two right triangular prisms are similar. Find the surface area of the larger prism. Round your answer to the nearest hundredth.A.B.C.D.

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What is the best name for the figure with the following coordinates? (4, 1), (1, 1), (3, –2), and (0, –2) A. rectangle B. square C. trapezoid D. parallelogram Please select the best answer from the choices provided

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Analyze the diagram below and complete the instructions that follow. Find the volume of the pyramid. Round your answer to the nearest hundredth. A. B. C. D. Please select the best answer from the choices provided

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Analyze the diagram below and complete the instructions that follow. Find the volume of the composite solid if the diameter of the cone is 18.6 inches and the diameter of the cylinder is 22.5 inches. Round your answer to the nearest hundredth. A. 5,456.68 in3 B. 5,867.88 in3 C. 6,771.79 in3 D. 21,826.72 in3 Please select the best answer from the choices provided

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Analyze the diagram below and complete the instructions that follow. Find the volume of the oblique cone. Round your answer to the nearest hundredth. A. B. C. D. Please select the best answer from the choices provided

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The circumference of the great circle of a hemisphere is 19π inches. Which statements about the hemisphere are true? Check all that apply. (Use 3.14 for π and round answers to the nearest tenth, if necessary. Recall that the formula for the surface area of a hemisphere is S = 3πr2 and the formula for the circumference of the great circle is C = πd.)The radius of the hemisphere is 9.5 inches.The radius of the hemisphere is 19 inches.The surface area of the hemisphere is 3,400.6 square inches.The surface area of the hemisphere is 850.2 square inches.The diameter of the hemisphere is 9.5 inches.The diameter of the hemisphere is 19 inches.

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The radius of the hemisphere is 9.5 inches.
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The radius of the hemisphere is 19 inches.
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The surface area of the hemisphere is 3,400.6 square inches.
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The surface area of the hemisphere is 850.2 square inches.
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The diameter of the hemisphere is 9.5 inches.
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The diameter of the hemisphere is 19 inches.
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Analyze the diagram below and complete the instructions that follow. The two triangular prisms are similar. Find the volume of the smaller prism. Round your answer to the nearest hundredth. A. B. C. D. Please select the best answer from the choices provided

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What is the most specific name that can be given to a figure with the following coordinates? (–10, 8), (–7, 13), (3, 7), and (0, 2) A. rectangle B. square C. trapezoid D. parallelogram Please select the best answer from the choices provided

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Given the equations of two lines, describe how to determine if the lines are parallel.

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Responses may vary but should include some or all of the following information: Find the slope and the y-intercept of each equation. The lines are parallel if their slopes are the same and their y-intercepts are different.

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Analyze the diagram below and complete the instructions that follow. Find the combined volume of the two cylinders. Round your answer to the nearest hundredth. A. B. C. D. Please select the best answer from the choices provided

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A cylinder and a cone start with the same radius and height. The radius of the cone is then tripled, and the height of the cone is cut in half. The radius of the cylinder stays the same, but the height of the cylinder is doubled. Which change produces a greater increase in volume (i.e., which figure’s volume increases by a larger factor)? Justify your answer. Write “pi” for and “r^2” for .

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Reponses may vary but should include some or all of the following information: The original volume of the cone is V= (1/3)pi(r^2)h. Tripling the radius (3r) and halving the height (h/2), we get a new volume of V=(1/3)pi(3r)^2(h/2), or V=(3/2)pi(r^2)h. Thus, the cone’s volume has increased by a factor of (3/2)/(1/3) = 9/2, or 4.5. The original volume of the cylinder is V=pi(r^2)h. Doubling the height, we get a new volume of V=pi(r^2)(2h) = 2pi(r^2)h. Thus, the cylinder’s volume has increased by a factor of 2/1, or 2. Therefore, the changes produced a greater increase in volume in the cone than in the cylinder.

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Analyze the diagram below and complete the instructions that follow. The two cones are similar. Find the surface area of the smaller cone. Round your answer to the nearest hundredth. A. 78.54 cm2 B. 85.55 cm2 C. 94.25 cm2 D. 125.66 cm2 Please select the best answer from the choices provided

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