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)
Answer:

13 glue sticks cost $25.22.
Step-by-step explanation:
4 blue sticks cost $7.76, this means that one glue stick costs
$7.76/4 = $1.94.
Let
be the cost of the glue sticks, and
be the number of glue sticks; then

We can use this equation to find the cost of 13 glue sticks; we just put
into our equation and it gives:

So 13 glue sticks cost $25.22.
x= length, y=width
Both the length and width were increased by 60% so now they are:
1.6x and 1.6y
Then they were both reduced by 25% so now they are 75%(100-25) of their previous size so they are:
0.75(1.6x) and 0.75(1.6y)
Their area would be length * width so it would be:
0.75(1.6x) * 0.75(1.6y)
Simplified this would be:
1.2x * 1.2y
Simplified more it would be :
1.44xy which is also 144% of xy which is a 44% increase of the original area (xy)
So the answer is:
44%
X = 28% * 80
x = 28/100 * 80
x = 28/10 * 8
x = 2.8 * 8
x = 22.4
28% of 80 is 22.4.
Your final name is a. 22.4
Answer:
The answer is obviously letter A!