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:
Step-by-step explanation: 32
Answer:
Step-by-step explanation:
(3/4)*(2/5)=6/20=3/10
Let's solve for x.
3
x
+
5
y
=
10
Step 1: Add -5y to both sides.
3
x
+
5
y
+
−
5
y
=
10
+
−
5
y
3
x
=
−
5
y
+
10
Step 2: Divide both sides by 3.
3
x
3
=
−
5
y
+
10
3
x
=
−
5
3
y
+
10
3
Answer:
x
=
−
5
3
y
+
10
3