1)
LHS:
LHS = RHS. So, the statement is true
2)
LHS:
LHS not equal to RHS. So, the statement is false
3)
LHS:
LHS = RHS. So, the statement is true.
4)
LHS:
LHS = RHS. So, the statement is true.
Answer:
Not proportional.
Step-by-step explanation:
The values do not begin from a straight line at the origin. X begins at 2, not the origin.
First way: x * 1.05
This computes directly what 105% of x will be.
Second way: x + (x * 0.05)
This takes x (which is 100%) and adds 5% of x to it.
Volume of cylinder:
V = πr²h
The desired volume is 1 Liter = 1000 cm³
1000 = πr²h
h = 1000/πr²
Surface area of cylinder:
S.A = 2πr² + 2πr²h
We substitute the value of h from the first equation:
S.A = 2πr² + 2πr(1/πr²)
S.A = 2πr² + 2/r
Now, to minimize surface area, we differentiate the expression with respect to r and equate to 0.
0 = 4πr - 1000/r²
4πr³ - 1000 = 0
r = 4.3 cm
h = 17.2 cm