Find the volume of each sphere
2 answers:
Heyo! ;D
Volume for Sphere 1 = 9,202.77
Explanation:
Considering we need to find the radius of this sphere to determine the volume, we need to break the given diameter in half. Also, since we know that half of 26 is 13, we can safely say that the radius of the sphere is 13. Now, we can follow the given formula for finding volume of spheres:
V = 4/3 x x r^3
= 4/3 x x 13^3
= 9202.77
I am not entirely sure how to round to two decimal places, however considering on what you have learned in your class, I'm sure you can take this from here.
Volume for Sphere 2 = 5,575.28
Explanation:
Taking into count that we already have our given radius, we can go right to the formula for finding volume of a sphere:
V = 4/3 x x r^3
= 4/3 x x 11^3
= 5575.27
Round to the nearest tenth place, leaving you with 5575.28.
Again, I have no idea what you have learned in your class, however I am sure you can round it from here.
Hope this helped you at least get closer to the answers you seek! If you have any questions, feel free to comment below. Good luck!
Answer: 1) 9198.11
2) 5572.45
Step-by-step explanation:
The formula for the volume of a sphere is V=4/3 π
The radius of the first sphere is 13 plug it into the formula for r
= 2197
2197 x 3.14 = 6898.58
6898.58 x 4/3 = <u>9198.11</u>
Do the same for the second sphere:
= 1331
1331 x 3.14 = 4197.34
4197.34 x 4/3 = <u>5572.45</u>
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1/3x ≥ y + 2
You’ll have to transform the equation into its slope-intercept form, y = mx + b, so that you could graph the line. Set y to “=“
1/3x = y + 2
Subtract 2 from both sides
1/3x -2 = y + 2- 2
1/3x - 2 = y or y = 1/3x - 2
Next, to graph the solid line, you need at least two points to plot. We can start with the y-intercept, (0, -2). Another point to use is the x-intercept. To solve for the x-intercept, (a, 0), set y = 0:
0 = 1/3x - 2
Add 2 on both sides:
0 + 2 = 1/3x - 2 + 2
2 = 1/3x
Multiply both sides by 3 to solve for x:
2(3) = (3) 1/3x
6 = x
Therefore, the x-intercept = (6,0).
Plot the intercepts on the graph and connect those two points to create line.
Next, to identify which half-plane region to shade, choose a convenient test point (not on the line) to see whether it part of the solution. We could use the point of origin, (0, 0). Substitute its values into the linear inequality:
1/3x ≥ y + 2
1/3(0) ≥ (0) + 2
0 ≥ 2 (false statement). Therefore, you must shade the half-plane region where it doesn’t contain the test point, (0, 0).
Attached is the graph where it shows that the shaded lower half-plane region.
Please mark my answers as the Brainliest if you find my explanations helpful :)
You’ll have to transform the equation into its slope-intercept form, y = mx + b, so that you could graph the line. Set y to “=“
1/3x = y + 2
Subtract 2 from both sides
1/3x -2 = y + 2- 2
1/3x - 2 = y or y = 1/3x - 2
Next, to graph the solid line, you need at least two points to plot. We can start with the y-intercept, (0, -2). Another point to use is the x-intercept. To solve for the x-intercept, (a, 0), set y = 0:
0 = 1/3x - 2
Add 2 on both sides:
0 + 2 = 1/3x - 2 + 2
2 = 1/3x
Multiply both sides by 3 to solve for x:
2(3) = (3) 1/3x
6 = x
Therefore, the x-intercept = (6,0).
Plot the intercepts on the graph and connect those two points to create line.
Next, to identify which half-plane region to shade, choose a convenient test point (not on the line) to see whether it part of the solution. We could use the point of origin, (0, 0). Substitute its values into the linear inequality:
1/3x ≥ y + 2
1/3(0) ≥ (0) + 2
0 ≥ 2 (false statement). Therefore, you must shade the half-plane region where it doesn’t contain the test point, (0, 0).
Attached is the graph where it shows that the shaded lower half-plane region.
Please mark my answers as the Brainliest if you find my explanations helpful :)
Answer:
Step by step explanation: