The sphere at the right fits snugly inside a cube with 18-in. edges. What is the approximate volume of the space between the sphere and cube?
Answers
Answer:
Step-by-step explanation:
We need to first find the volume of the cube, then subtract from it the volume of the sphere. This is what we are being asked to find. First, the volume of the cube is length times width times height. Since this is a cube, all of the sides are the same length, making the volume
V = 18³ so
V = 5832 inches cubed. Now for the sphere.
The formula for the volume of a sphere is
and we will use 3.1415 for π.
which gives us
V = 3053.538
Subtracting the volume of the sphere from the volume of the cube:
V = 5832 - 3053.538
V = 2778.462 inches cubed
Answer:
2,778 in³
Step-by-step explanation:
Volume cube
v = 18³
v = 5,832
Volume sphere
v = (4/3)π9³
v = 3,053.6280592893
Volume space
v = 5,832 - 3,053.6280592893
v = 2,778.3719407107
2,778 in³
Related Questions
If f(x)=3^x and g(x)=2x+5, at which value of x is f(x)
Which of equation represents a function? A. x2 + y2 = 9 B. {(4, 2), (4, –2), (9, 3), (9, –3)} C. x = 4. 2x + y = 5
Plz quick! 100 ptsA shade of green palnt is to be mixed with 3 parts blue and 2 parts yellow. Ten gallons of green palnt are to be mixed. How many gallons of yellow palnt must be used? a. 2b. 4c. 6 2/3d. 5
Need help fast please
A.
x = 1
B.
x = 5
C.
x = 7
D.
x = 8
Answers
Therefore, x = 8
X=8 completely right.
Which of the following functions best defines this sequence? (5 points)
A f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1
B f(1) = 9, f(n + 1) = f(n) + 4; for n ≥ 1
C f(1) = 9, f(n + 1) = f(n) − 5; for n ≥ 1
D f(1) = 9, f(n + 1) = f(n) + 5; for n ≥ 1
Answers
Answer:
Option A is correct.
Step-by-step explanation:
We have been given the sequence:
9,5,1,-3
We can clearly see that the next digit is four less than the previous digit.
Here first term that is a=9
So, the function would be:
Therefore. option A is correct.
Option B and D are not correct because function is decreasing not increasing.
Option C is not correct because decreasing by 4 not 5.
Answer:
A f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1
Step-by-step explanation:
i took the test and got it right
Answers
Answers
Answer:
13
Step-by-step explanation:
Find 26% of 50 by doing
.26 * 50
resulting in 13
Final answer:
In order to determine the number of missed shots, one has to convert the 26 Percentage into a decimal and multiply it by the total number of shots, which results in Linda missing 13 shots.
Explanation:
The subject of this question is Mathematics, specifically percentage calculations. If Linda, during her practice, missed 26% of her free throw shots and if she shot the ball 50 times, to find how many times she missed, you would have to find 26% of 50.
Step 1: Convert the percentage to a decimal by dividing it by 100. So, 26% becomes 0.26.
Step 2: Multiply this decimal by the total number of shots Linda made, which is 50. Therefore, 0.26 times 50 equals 13.
So, Linda missed 13 of her free throw shots.
Learn more about Percentage calculations here:
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Answers
Answer:
28.914
Step-by-step explanation:
Answers
Answer:
The range of cos(x) is -1 to 1 (with brackets if in interval notation as -1 and 1 can be included) is because the radius of the unit circle is also 1. If the range went past -1 or 1, the unit circle could not define those values, and would turn up as error or undefined. Now, if you replace a in y = acos(x) + b, the range would be different because you amplified the equation and thus the range and radius.
Step-by-step explanation: