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Black_prince [1.1K]
3 years ago
5

Find the volume of the sphere to the nearest whole value. The volume is ________ in3

Mathematics
1 answer:
Kamila [148]3 years ago
5 0
1. V=\frac{4}{3}  \pi 4.5^{3} =  \pi*  \frac{243}{2} =381.7in^{3}
2. For the surface area cm² is appropriate because you're finding the area of the surface (in 2nd dimension).
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The answer should be
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I need help.. A diameter of a circle has endpoints p(-10, -2) and q(4, 6)
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A: The center is the mid point of the diameter. So, the center of the circle will be the midpoint of points P and Q. The coordinates of the midpoint are the averaged coordinates of the endpoints.

So, the x-cooardinate of the center is the average of the x-coordinates of P and Q:

C_x = \dfrac{P_x+Q_x}{2}=\dfrac{-10+4}{2}=\dfrac{-6}{2}=-3

Try to do the same thing with the y coordinates, and you'll get the y-coordinate C_y. This first part will be over, because the circle will be point

C=(C_x,C_y)

B: The radius is exactly half the diameter. So, we find the length of the diameter, and we divide it by 2. To find the length of the diameter, we use the standard formula for the distance between two points:

d=\sqrt{(P_x-Q_x)^2+(P_y-Q_y)^2}=\sqrt{(-10-4)^2+(-2-6)^2}=\sqrt{260}=2\sqrt{65}

Divide this length by 2 and you'll get the radius.

C: At this point, we have both the radius and the coordinates of the center. The equation of the circle depends on these two parameters, and it is

(x-C_x)^2+(y-C_y)^2=r^2

Substitute C_x and C_y with the coordinates of the center (found in point A.) and r with the radius (found in point B.) and you'll have the equation of the circle.

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3 years ago
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Answer: 4,000 cubic feet

Step-by-step explanation:

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V=40*20*5= 4000

Answer: 4,000 cubic ft.

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