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)
So you know the merchant made a 15% profit on the pen, so she bought it for a cheaper price. To find the cost of the pen before you have to take the price now, $6.90 and times it by 85%. You do 85% because you subtract the 15% she saved from 100% and you get 85%. So 6.90x.85= 5.865 which rounds to $5.87

Now, If the exponent was negative like you asked....
Answer:
True
Step-by-step explanation:
X+11=18
subtract 11 from both sides
18-11=7
x=7
Answer:
y = x - 4
Step-by-step explanation:
The standard equation of a line is y = mx+b
m is the slope
b is the y intercept
Get the slope
Using the coordinate points (4, 0) and (0, -4)
m = -4-0/0-4
m = -4/-4
m = 1
Since the line cuts the y axis at y = -4, the y-intercept b = -4
Get the equation;
Since y = mx+b
y = 1x + (-4)
y = x - 4
This gives the required equation