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:
Given:
- area = 18 cm²
- base = 6 cm
- height = (h + 1) cm
Substitute the given values into the equation and solve for h:
expand using distributive property of addition 
:
subtract 3 from both sides:
divide both sides by 3:
<u>To verify</u>:
Half of the base is 3 cm.
If h=5, then the height of the triangle is 6 cm.
Multiplying 3 by 6 is 18.
This matches the given area, so we can verify that h = 5.
Answer: 1527
Step-by-step explanation:
Total Area = 7500 ft^2
Area covered by one student = Area of one circle
= π*r^2
r = radius of circle = 2.5/2 = 1.25 ft
Area covered by one student = π*1.25^2 = 4.91 ft^2
Number of students who can fit into total area = Total Area/Area covered by one student
Number of students who can fit into total area = 7500/4.91 = 1527.49
Hence the answer is 1527 students
Answer:
Step-by-step explanation:
