Answer: ∆V for r = 10.1 to 10ft
∆V = 40πft^3 = 125.7ft^3
Approximate the change in the volume of a sphere When r changes from 10 ft to 10.1 ft, ΔV=_________
[v(r)=4/3Ï€r^3].
Step-by-step explanation:
Volume of a sphere is given by;
V = 4/3πr^3
Where r is the radius.
Change in Volume with respect to change in radius of a sphere is given by;
dV/dr = 4πr^2
V'(r) = 4πr^2
V'(10) = 400π
V'(10.1) - V'(10) ~= 0.1(400π) = 40π
Therefore change in Volume from r = 10 to 10.1 is
= 40πft^3
Of by direct substitution
∆V = 4/3π(R^3 - r^3)
Where R = 10.1ft and r = 10ft
∆V = 4/3π(10.1^3 - 10^3)
∆V = 40.4π ~= 40πft^3
And for R = 30ft to r = 10.1ft
∆V = 4/3π(30^3 - 10.1^3)
∆V = 34626.3πft^3
Answer: I think that it is the first one
3,510
913=117
11730=3,510
3,510
Answer:
Function 1 is negative with a slope of -5 and Function 2 is positive with a slope of 3.
Step-by-step explanation:
<em>Slope Formula: (y2 - y1)/(x2 - x1) </em>
<u>Function 1:</u> m = -2 - (-12) / 1 - 3
m = 10 / -2
m = 5 / -1
m = -5
<u>Function 2:</u> m = 3/1
m = 3
