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ruslelena [56]
3 years ago
7

A basketball id stored inside a cylindrical container as shown. The height of the cylinder is 8 inches and its radius is 4 inche

s. The radius of the basketball is 4 inches. What is the total volume in cubic inches of the space inside the cylinder that is unoccupied
Mathematics
1 answer:
german3 years ago
3 0

Answer:

134.041\ \text{in}^3

Step-by-step explanation:

r = Radius of sphere = Radius of basketball = 4 inches

h = Height of cylinder = 8 inches

Volume of unoccupied space will be the difference in volume between the cylinder and the basketball

\Delta V=\pi r^2h-\dfrac{4}{3}\pi r^3\\\Rightarrow \Delta V=\pi r^2(h-\dfrac{4}{3}r)\\\Rightarrow \Delta V=\pi\times 4^2(8-\dfrac{4}{3}\times 4)\\\Rightarrow \Delta V=134.041\ \text{in}^3

Unoccupied volume in the container is 134.041\ \text{in}^3.

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Answer:

D. x-intercept is -5 and the y-intercept is -2

5 0
3 years ago
Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a math
alex41 [277]

Answer:\frac{8}{3}\times \sqrt{\frac{2}{5}}

Step-by-step explanation:

Given two upward facing parabolas  with equations

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area  enclosed by them is given by

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A=\frac{8}{3}\times \sqrt{\frac{2}{5}}

7 0
3 years ago
What is the approximate perimeter of a semicircle with a radius of 8 m? Use pi star times = 3.14. Express your final answer to t
irga5000 [103]
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That curve is half the distance around the circle, since it's been split in half.
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Using 3.14 for π, 8π = 8×3.14 = 25.12.
As for the flat part, that is the diameter (distance across) our circle.
The radius is the distance from the center of a circle to its edge, and always has half the length of the diameter. (you can break the diameter down into two radii)
If our radius is 8 meters, our diameter (the flat part of that semicircle) must be 16.
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5 0
3 years ago
If a triangle with angle measures 40,30.and 120 centimeters possible?
vagabundo [1.1K]
No, the longest side must be less than the sum of the smaller sides or else they won't connect (try it yourself with straw or something)

40+30>120
70>120
false, therfor they canonot be a triangle
7 0
3 years ago
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natta225 [31]
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