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:
1.8285714
Step-by-step explanation:
Answer:
n*8=24
Step-by-step explanation:
3*8=24
Answer:
Step-by-step explanation:
<h3>QUESTION-1:</h3>
we are given the center and the redious of a circle equation
remember that,
where (h,k) is the centre coordinate and r is redious of the circle
given that, h=-2 , k=-5 and r=1
Thus substitute:
simplify:
<h3>QUESTION-2:</h3>
Likewise
given that,h=7,k=-3 and r=√7
substitute:
simplify:
Pretty sure number 12 is 4
