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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The graph shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet
Part A: What do the x-intercepts of the graph represent?
The x intercept means value of x when h(x)=0. That is, the x-intercept signify the distance from kicker when height h(x) =0. The x intercept is (0,0) and (16,0).
So, when the kicker is at a distance of 0 feet or 16 feet, height h(x)=0 feet.
What does maximum value of the graph represent?
The maximum value of the graph signify maximum height the soccer ball can achieve. The maximum height the graph has is at (8,10). That is, when kicker is at a distance of 8 feet from the ball, the ball attains a maximum height of 10 feet.
What are the intervals where the function is increasing and decreasing, and what do they represent about distance and height?
The increasing interval is (-∞,8]. That is, the height of the ball increases when kicker is increasing as the distance increases from -∞ to 8. But, the height keeps on decreasing from 8 to ∞. As, x, distance increases from 8, the height decreases, Hence, decreasing interval [8,∞)
Part B: What is an approximate average rate of change of the graph from x=8 to x=13, and what does this rate represent?
average rate of change=
where x2=13 and x1=8. That is, the interval in which we are looking for average rate of change
f(x2)=f(13)=5
f(x1)=f(8)=10
average rate of change =
=
=-1
average rate of change =-1.
This rate signify that height decreases by 1 feet as distance of the skipper increases by 1 feet (when distance, x is between 8 and 13)
