The answer is 1,695.6 in³.
The volume of the empty space is the difference of the bigger cylinder and the smaller cylinder: V = V1 - V2
The volume of the bigger cylinder is:
V1 = π r² h
r = 10 in
h = 15 in
π = 3.14
V1 = 3.14 * 10² * 15 = 4,710 in³
The volume of the smaller cylinder is:
V2 = π r² h
r = 8 in
h = 15 in
π = 3.14
V2 = 3.14 * 8² * 15 = 3,014.4 in³
The volume of the empty space is:
V = V1 - V2 = 4,710 in³ - 3,014.4 in³ = 1,695.6 in³
The correct answer for the given question above would be option C. In the metric system, the one that has shown a correct equivalent of measurement is 100 centimeter = 1 meter. And in every 1 centimeter, there is 0.01 meter. The rest of the options are not correct so the answer is C.
Answer: 3a = (0, 1) 3b = (2, 1) 3c = (2.5, 1) 3d = (1.6, 1)
4a = (2, 3.5) 4b = (2, 3) 4c = (2, 5.375)
<u>Step-by-step explanation:</u>
The length of AB is 6 and is horizontal (affects the x-coordinate)


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The length of AB is 5 and is vertical (affects the y-coordinate)

Answer:
D
Step-by-step explanation:
(f • g)(x)
= f(x) × g(x)
= (x + 4)(3x² - 7)
each term in the second factor is multiplied by each term in the first factor , that is
x(3x² - 7) + 4(3x² - 7) ← distribute both parenthesis
= 3x³ - 7x + 12x² - 28
= 3x³ + 12x² - 7x - 28 ← in standard form