Answer:
DA/dt = 75.27 cm²
Step-by-step explanation:
Cube Volume = V(c) = 683 cm³
DV(c) /dt = 824 cm³
V(c,x) = x³
Then
DV(c,x)/ dt = 3x² Dx/dt
( DV(c,x)/ dt )/ 3x² = Dx/dt (1)
Now as V(c,x) = x³ when V(c,x) = 683 cm³ x = ∛683
x = 8.806 ( from excel)
And by subtitution of this value in equation (1)
Dx/dt = ( DV(c,x)/ dt )/ 3x² ⇒ Dx/dt = 824 / 3*x²
Dx/dt = 824 /3*77.55
Dx/dt = 824/232,64
Dx/dt = 3,542
Then we got Dx/dt where x is cube edge. The area of the face is x² then
the rate of change of the suface area is
DA/dt = ( Dx/dt )²*6 ( 6 faces of a cube)
DA/dt = (3.542)²*6
DA/dt = 75.27 cm²
I’m fairly certain it is 70 , or option 4 :))
Answer:
QTS=STQ=STR
Step-by-step explanation:
Mia’s first error was " she forgot to multiply π by (17.5)²(47) "
Step-by-step explanation:
The formula of the volume of a cylinder is V = π r² h, where
- r is the radius of the base of the cylinder
- h is the height of the cylinder
∵ The diameter of the base of the cylinder is 35 meters
∵ The radius =
× diameter
∴ The radius =
× 35 = 17.5 meters
∴ r = 17.5
∵ The height of the cylinder = 47 meters
∴ h = 47
- Substitute r and h in the formula of the volume
∴ V = π (17.5)²(47)
∵ Mai's first step is V = (17.5)²(47)
- She forgot to put π
∴ Her first error is she forgot to multiply π by (17.5)²(47)
Mia’s first error was " she forgot to multiply π by (17.5)²(47) "
Learn more:
You can learn more about the volume in brainly.com/question/6443737
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