Answer:
r= 0.08 ft
Step-by-step explanation:
C= $500 per cubic foot
S=$20 per square foot of surface area
We know that
Profit = Selling price - Manufacturing price
P = S - C
Lets take r is the radius of sphere
Surface area ,A= 4πrr²
Volume ,V= 4πr³/3
P = S - C
P = 20 x 4πr² - 500 x 4πr³/3
For maximize the profit
dP/dr = 0
P = 20 x 4πr² - 500 x 4πr³/3
dP/dr = 160 πr - 2000 πr²
160 πr - 2000 πr² = 0
160 - 2000 r = 0
r= 0.08 ft
d²P/dr² = - 4000 πr
d²P/dr² is negative at all value of r that is why at r=0.08 ft ,it is maximum.
Answer:
All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power. So the length of the edge of a cube with a volume of 125 is 5.
Step-by-step explanation:
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The celestial sphere and Earth is the example of a beach ball with a ping pong ball inside of it can be used to imagine the relationship between what two entities.
The heavenly sphere is what Why is this old idea still relevant today?
- Ancient people used the celestial sphere to describe the visible universe.
- Although our understanding of the cosmos has changed, the concept of a celestial sphere is still prevalent because it provides a straightforward perspective on the stars that is useful for navigation.
Which phrase most accurately sums up the celestial sphere?
The entire sky as seen from Earth is portrayed by the celestial sphere. Keep in mind that the celestial sphere is intended to depict the sky as it appears from our planet rather than physical reality.
Learn more about celestial sphere
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Cara's brother is 7 years old.
14 is twice as much as 7 (7 * 2 = 14).
Answer:
The volume of the new prism is 24 ft³
For standing of prisms side by side, only the length of the ne prism is increased
Step-by-step explanation:
The dimensions of the new prism are;
Length = 8 mm
Height = 3 mm
Width = 1 mm
Therefore, the volume of the of rectangular prism is given by the following expression;
Volume = Width × Height × Length = 8 × 3 × 1 = 24 ft³
Therefore, the volume of the new prism = 24 ft³
Where, the prism are arranged side by side, we have the heights and width remaining the same, while the length is increased.