A sphere fits inside a cube with the sphere's diameter equal to the width of the cube, 20 centimeters. What is the volume of the
cube not filled by the sphere? Round to the nearest cm³
A) 3813cm³
B) 3225cm³
C) 4079cm³
D) 3546cm³
A) 3813cm³
B) 3225cm³
C) 4079cm³
D) 3546cm³
1 answer:
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Simultaneous Equations:
(3x + 5y = 7)×(-3)
(4x + 3y = 2)×(5)
-9x - 15y = -21
20x+15y =10 (-15y and and+15y cancels out)
11x = -11
= 
(11 and 11 cancels out)
x= -1
substitute the x we found into either original expressions
3(-1) + 5y = 7
-3 + 5y = 7
+3 -3+ 5y = 7+ 3
5y = 10
=
(5 and 5 cancels out)
y=2
Check it!
4(-1)+3(2) = 2
-4 + 6 = 2
2 = 2
3(-1) + 5(2) = 7
-3 + 10 = 7
7 = 7
x= -1
y= 2
(3x + 5y = 7)×(-3)
(4x + 3y = 2)×(5)
-9x - 15y = -21
20x+15y =10 (-15y and and+15y cancels out)
11x = -11
x= -1
substitute the x we found into either original expressions
3(-1) + 5y = 7
-3 + 5y = 7
+3 -3+ 5y = 7+ 3
5y = 10
y=2
Check it!
4(-1)+3(2) = 2
-4 + 6 = 2
2 = 2
3(-1) + 5(2) = 7
-3 + 10 = 7
7 = 7
x= -1
y= 2
(3xy^2 4 sqrt 4x^2)
Step-by-step explanation:
<h3>Hope it's helpful to you</h3>