Answer:
The volume of a cone is 1/3 of the volume of the cylinder.
Step-by-step explanation:
The formula for a cylinder is:
V = bh
For a cone:
V = 1/3(bh)
If the radius of both are the same, then the area of the base is the same. The height is also constant, therefore:
The volume of a cone is 1/3 the volume of the cylinder.
--------------------------
Example to prove:
Given, radius 2 and height 15:
Cylinder: V = bh (b = πr²)
V = 4π × 15
V = 60π u³
Cone: V = 1/3 (bh)
V = 1/3 (4π × 15)
V = 20π u³
For this problem, you need to create a proportion.
40 inches/12 minutes=100 inches/x
Let x be the number of minutes it takes to weave 100 inches
Solve
40x=1200
x=30 minutes
X= 2 y= 3
x=4 y= 3
The slope is 0 since y doesn't change.
Answer:
A / (1 +√5) = A (1 - √5) / (1 - 5) = -A (1 - √5) / 4
Multiply numerator and denominator by (1 - √5)