The Volume of air needed for a spherical balloon of radius 4 inch and circumference 8π is 85.3 cubic inch
<h3>Volume of Sphere</h3>
Given Data
Let us find radius
circumference = 2πr
8π = 2πr
8 = 2r
r = 8/2
r = 4 inch
Let us find the volume of the sphere
Volume = 4/3πr^3
Volume = 4/3* π*4^3
Volume = 4/3*π64
Volume = 256π/3
Volume = 85.3 cubic inch
Learn more about volume of sphere here:
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83, the only number between 78 and 88 that has a 3 in the ones place.
Hope this helps!
Hello!
If you want to find an equation that is parallel to another equation, and passing through the point (1, 4), you need to create a new equation with the same slope, you need to substitute the given point into the new equation to find the y-intercept.
m = 3, y = 3x + b (substitute the ordered pair)
4 = 3(1) + b (simplify)
4 = 3 + b (subtract 3 from both sides)
b = 1
Therefore, the line parallel to the line y = 3x - 2 and passing through the point (1, 4) is y = 3x + 1.
5p - 3q = -39
- (-2p - 3q = 3)
==> 7p = -42 ==> p = -6
==> p = -6
-2(-6) - 3q = 3 ==> 12 - 3q = 3
==>p = -6
-3q = 3 - 12 ==> -3q = -9
==> p = -6
q = 3
