The dimensions of the cylinder can be used to minimise cost of manufacture.
<h3>How to we find minimised cost?</h3>
Let's ignore the metal's thickness and assume that the material cost to manufacture is precisely proportionate to the surface area of a perfect cylinder.
A=2πr(r+h)
Given that V=1000=r2h and h=1000=r2, we can write
A=2πr(r+1000πr2)
A=2πr2+2000r−1
By setting the derivative to zero, we may determine the value of r that minimises A:
A′=4πr−2000r−2
0=4πr−2000r−2
2000r−2=4πr
2000=4πr3
r=500π−−−√3
r=5.419 + cm
h=1000πr2=10.838 + cm
The can with the smallest surface area has a volume of 1000 cm 3 and measures 5.419+ cm in radius and 10.838+ cm in height. The can has a surface area of 553.58 cm 2. Given a constant volume, the cylinder with diameter equal to height has the least surface area.
Can surface area (cm2) versus. radius (cm), where capacity = 1000cm 3.
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Stan and Tammy will share the estate in equal shares. You are able to have as many beneficiaries as you name, due to this and no change in the first will, both will be heirs to the estate. If Ruth were to have revoked the first will, then it would have left Tammy the sole beneficiary.
Answer: At the age of 65 the money will be $90337.5
Explanation: There are 365 days in a year take $5 multiply it by 365 to get the money after one year then multiply it by 10 % to get an interest per year. Add the interest to the amount then multiply by 43 years.
Note 65years-22 years = 43 years
$5×365= $1825
$1825×10%=$182.5
=$182.5+$1825=$2007.5/year
$2007.5×43= $90337.5
Answer:
$42.5 billion
Explanation:
the expected value formula = ∑ (valueₙ x probabilityₙ)
expected value = (low value x probability of low value) + (most likely value x probability of most likely value) + (high value x probability of high value)
= ($5 billion x 20%) + ($45 billion x 70%) + ($100 billion x 10%) = $1 billion + $31.5 billion + $10 billion = $42.5 billion
