Answer:
a) 28,662 cm² max error
0,0111 relative error
b) 102,692 cm³ max error
0,004 relative error
Step-by-step explanation:
Length of cicumference is: 90 cm
L = 2*π*r
Applying differentiation on both sides f the equation
dL = 2*π* dr ⇒ dr = 0,5 / 2*π
dr = 1/4π
The equation for the volume of the sphere is
V(s) = 4/3*π*r³ and for the surface area is
S(s) = 4*π*r²
Differentiating
a) dS(s) = 4*2*π*r* dr ⇒ where 2*π*r = L = 90
Then
dS(s) = 4*90 (1/4*π)
dS(s) = 28.662 cm² ( Maximum error since dr = (1/4π) is maximum error
For relative error
DS´(s) = (90/π) / 4*π*r²
DS´(s) = 90 / 4*π*(L/2*π)² ⇒ DS(s) = 2 /180
DS´(s) = 0,0111 cm²
b) V(s) = 4/3*π*r³
Differentiating we get:
DV(s) = 4*π*r² dr
Maximum error
DV(s) = 4*π*r² ( 1/ 4*π*) ⇒ DV(s) = (90)² / 8*π²
DV(s) = 102,692 cm³ max error
Relative error
DV´(v) = (90)² / 8*π²/ 4/3*π*r³
DV´(v) = 1/240
DV´(v) = 0,004
Answer:
The answer to your question is: 2.29 units
Step-by-step explanation:
Data
Volume = 16π
radius = ?
Formula
V =
Process
16 π =
r³ = 12
r = 2.29
<h3>
Answer: 24</h3>
To get this answer, we multiply the values given to us
3*2*4 = 6*4 = 24
So that's why there are 24 different outfits possible.
Answer:
1612.2
Step-by-step explanation:
3.74% × 2 = 7.48%
1500 + 7.48% = 1612.2
Combine (subtract) 3n and 2n to get 1n or n. Then you have n -5n =10n add 5n to 10n to get 15n. divide the 15 from n and your answer is n=15