We know that
volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²)
and
surface area of sphere=4*pi*r²
so
the volume of a sphere=(r/3)*surface area of sphere
therefore
if r=3
volume of a sphere=(3/3)*surface area of sphere
volume of a sphere=surface area of sphere
if r> 3
the term (r/3) is > 0
so
volume of a sphere > surface area of sphere
if r<3
the term (r/3) is < 0
so
volume of a sphere < surface area of sphere
examples
1) for radius r=3 units
volume of a sphere=(4/3)*pi*3³----> 113.04 unit³
surface area=4*pi*3²----> 113.04 units²
volume is equal to surface area
2) for radius r=10 units
volume of a sphere=(4/3)*pi*10³----> 4186.67 unit³
surface area=4*pi*10²----> 1256 units²
volume is > surface area
3) for radius r=2 units
volume of a sphere=(4/3)*pi*2³----> 33.49 unit³
surface area=4*pi*2²----> 50.24 units²
volume is < surface area
The linear equation in slope intercept form: y = mx + b.
We have:
This is not a linear equation.
Answer: D
Explanation: It’s going from least to greatest.
Answer:
B is correct option
Step-by-step explanation:
The correct option is B:
Convert 3 1/2 inches in feet by proportion:
3 1/2 = 7/2
1/4 / 7/2 = 1/x
1/2 / 7 =1/x
1/2 *x = 7
x= 7*2
x= 14ft
Convert 5 1/2 into feet
5 1/4 = 21/4
1/4 / 21/4 = 1/y
THE DENOMINATORS WILL BE CANCELLED OUT BY EACH OTHER.
1/21 = 1/y
y = 21ft
Therefore it is 14ft by 21ft, which is option B....
Answer:
The mechanic charged 40 for the labor per hour.
Step-by-step explanation:
Total bill paid = 375
Working hours of labor = 4 hrs
Also, the additional charges paid on the bill = 215
So, the actual labor charge paid for 4 hour labor
Actual labor Cost = Final Bill - Additional charges
= 375 - 215 = 160
Hence, the cost paid for 4 hour labor = 160
⇒ The cost paid for 1 hour labor = 160 / 4 = 40
Or, the mechanic charged 40 for the labor per hour.
