Answer:
0,36π inches³ or simply 1.13 inches³
Step-by-step explanation:
In this case, first, we need to calculate the volume of the sphere with the formula:
V = 4πr³/3
Replacing the data we have:
V = 4π(3)³/3
V = 36 in³
Now that we have the volume we need to calculate the resulting error. In this case, using linear approximation we have to use the derivates of V and r, so we have the following:
If V = 4πr³/3
Then the derivate of V (dV) would be:
dV = 4π*3*r²/3 dr
Where dr is the error of radius so:
dV = 4π*r² dr
Solving for dV:
dV = 4*3.14*(3)²*(0.01)
dV = 1.13 in³
So at the end, we just report the volume of the sphere as
V = 36 ± 1 in³
dV =
Answer:
a) SA = 331.2 mi²
V = 374.4 mi³
Step-by-step explanation:
SA = 2 base areas + 6 vertical side areas
SA = (6 x 0.5 x 5.2 x 6 x 2) + (4 x 6 x 6) = 331.2 mi²
V = base area x height
V = (6 x 0.5 x 5.2 x 6) x 4 = 374.4 mi³
Answer:
Last option is the correct answer:
The graph of G (x) is the graph of f(x) shifted 2 units to the left
Step-by-step explanation:
We know that for any parent function f(x) the graph of the transformed function:
is a shift of the the parent function f(x) either to the left or the right depending on the value of a.
if a>0 then the shift is 'a' units to the left
and if a<0 then the shift is 'a' units to the right.
Here we have transformed function G(x) as:
i.e. a=2>0.
Hence, the graph of G (x) is the graph of f(x) shifted 2 units to the left.
