Answer:
C. V = two-thirds (27)
Step-by-step explanation:
Given
Solid Shapes: Cylinder and Sphere
Volume of Cylinder = 27π ft³
Required
Volume of the sphere.
From the question,
<u>We have that</u>
1. The volume of the sphere is the same as the volume of the cylinder
2. The height of the sphere is the same as the height of the cylinder.
From (2) above;
This means that the height of the cylinder equals the diameter of the sphere.
Let h represent the height of the sphere and d represent the diameter of sphere.
Mathematical, d = h
Recall that radius, r = 
Substitute h for d in the above expression
. ----- (take note of this)
Calculating the volume of a cylinder.
V = πr²h
Recall that V = 27; This gives us
27 = πr²h
Divide both sides by h

-------------------
Calculating the volume of a sphere

Expand the above expression

Substitute 

Recall that 
So,




V = two-third (27)
-3/8 = -0.375
-5/8 = -0.625
-1/8 = -0.125
1/4 = 0.25
<span>0.5 = 0.5
</span>
Therefore 1/4 & 0.5 & -1/8 > -3/8
Step-by-step explanation:
your don't see what went wrong ?
Tyrell worked on
16 - 2(4 + 3x)
what do brackets mean ? they mean that this operation has to be done before everything else in the expression.
as this contains a variable, we cannot fully calculate it, true, but we need to keep this in mind and always treat the content of the brackets as one package.
so, whatever I do from the outside with one part of that package, I have to do also with all the other parts of that package.
so, the multiplication with -2 has to happen with both : 4 and 3x. not just with 4.
therefore, the correct simplification looks like
16 - 8 - 6x
8 - 6x or -6x + 8
Amelia multiplied correctly, but then made a mistake summing things up
10x - 3(4x + 1)
10x - 12x - 3
10x - 12x = -2x
I can't mix the pure constant -3 into the factors of x. that would be like the famous mixing of apples and oranges.
so, the result is
-2x - 3