6 less than 2 and a number.
Answer:
The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343
Step-by-step explanation:
In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.
Mathematically, the volume of a sphere V can be calculated using the formula
V = 4/3 * π * r^3
Now multiplying the radius by 1/7, the new radius will be r/7
Thus the new volume here will be
V2 = 4/3 * π * (r/7)^3
V2 = 4/3 * π * (r^3)/343
Thus we can conclude that the value of the volume will be decreased by a factor of 343
Meaning the ratio of the old volume to the new volume will be 1 to 343
Cameron is 72 inches tall.
48 x 3/2= 72 inches or 6 ft.
Answer:
1) True 2) False
Step-by-step explanation:
1) Given 
To verify that the above equality is true or false:
Now find 
Expanding the summation we get

Now find 
Expanding the summation we get
Comparing the two series we get,
so the given equality is true.
2) Given 
Verify the above equality is true or false
Now find 
Expanding the summation we get


now find 
Expanding the summation we get


Comparing the series we get that the given equality is false.
ie, 