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
The answer that I got was 27, hope it helps
Answer:
C.
Step-by-step explanation:
200 X 5 = 1000
200 X 2 = 200
1000-200= 800.
Taylor uses 800 ml more of yellow paint compared the blue paint.
Answer:
$205.73
Step-by-step explanation:
First we find the square area,
multiply 10 by 4.5 and we get 45
we convert feet to meters by dividing it by 3.281
45/3.281=13.71533
we the multiply 13.71533 by 15 to get the total price
we get 205.72996 and round it to 205.72
