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)
<h3>
Answer: 1/2</h3>
The midsegment is always exactly half as long compared to the side it's parallel to.
Put another way, the longer side (4x+20) is twice long as the midsegment (3x).
Answer:
Yes
Step-by-step explanation:
s<30
Put in 28 for s
28<30
Twenty eight is less than 30 so it is a solution
Answer:
x = 72
Step-by-step explanation:
angles x and 72° are corresponding angles and are congruent , then
x = 72
Answer: x = 2
Step-by-step explanation:
<em>first, we remove the parentheses. </em>
10 - 54 - 24x = 10x - 120 + 8
<em>then, we just calculate that out.</em>
-44 - 24x = 10x - 112
<em>next, we move the terms.</em>
-24x - 10x = -112 + 44
<em>then, we collect the like terms and calculate it.</em>
-34x = -68
<em>finally, we divide both sides.</em>
x = 2