Answer:
ΔV = 0.36π in³
Step-by-step explanation:
Given that:
The radius of a sphere = 3.0
If the measurement is correct within 0.01 inches
i.e the change in the radius Δr = 0.01
The objective is to use differentials to estimate the error in the volume of sphere.
We all know that the volume of a sphere

The differential of V with respect to r is:

dV = 4 πr² dr
which can be re-written as:
ΔV = 4 πr² Δr
ΔV = 4 × π × (3)² × 0.01
ΔV = 0.36π in³
Answer:
x=y-6/3y+1
Step-by-step explanation:
3xy+x=y−6
Step 1: Factor out variable x.
x(3y+1)=y−6
Step 2: Divide both sides by 3y+1.
x(3y+1)
3y+1
=
y−6
3y+1
Answer: 9.5 cups of water
Step-by-step explanation:
5 1/2 + 4
5 1/2= 11/2
11/2+4=9.5