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
So whatever happened does not matter, They are only asking the volume of liquid left in A at the end. Therefore :
Calculation :
B + 120 = 4A
B = 4A - 120 ---------- 1
A - 120 = B ------------ 2
Subtract 2 from 1
B - B = 4A - 120 - A - 120
0 = 3A - 240
240 = 3A
240 ÷ 3 = A
8 = A
Answer :
A = 8
Answer:
2.2 ft ( to 1 dec. place )
Step-by-step explanation:
The arc length is calculated as
arc = circumference × fraction of circle
= 2πr × 
= 2π × 7 × 
= 14π ×
= 
≈ 2.2 ft
Answer:
$5.25
Step-by-step explanation:
8.75/5=1.75
1.75 x 3=5.25
B. The chart shows that the more hours being put into playing computer games, the lower the test scores get.
