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amid [387]
3 years ago
9

Find the dimensions of a right-circular cylinder that is open on the top and closed on the bottom, so that the can holds 1 liter

and uses the least amount of material? ...?
Mathematics
1 answer:
anzhelika [568]3 years ago
5 0
Volume of cylinder:
V = πr²h
The desired volume is 1 Liter = 1000 cm³
1000 = πr²h
h = 1000/πr²

Surface area of cylinder:
S.A = 2πr² + 2πr²h
We substitute the value of h from the first equation:
S.A = 2πr² + 2πr(1/πr²)
S.A = 2πr² + 2/r
Now, to minimize surface area, we differentiate the expression with respect to r and equate to 0.
0 = 4πr - 1000/r²
4πr³ - 1000 = 0
r = 4.3 cm
h = 17.2 cm
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Answer:

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Step-by-step explanation:

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3 years ago
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At 1:00 p.m. a car leaves st. louis for chicago, traveling at a constant speed of 65 miles per hour. at 2:00 p.m. a truck leaves
Maurinko [17]
Let x =  miles traveled by car
Let y = miles traveled by truck.

Because the total distance is 305 miles,
x + y = 305       (1)

Let t = hours of travel by truck. Because the truck speed is 55 mph,
55*t = y            
or 
t = y/55              (2)

The car has an hour head start, therefore it travels for (t + 1) hours.
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65*(t + 1) = x
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65*(y/55 + 1) = x
or
1.1818y + 65 = x        (3)

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From (2),
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The two vehicles pass each other at 2:00 pm + 2 hours  = 4:00 pm

Answer: 4:00 pm
8 0
4 years ago
A clock on sale for $215 was regularly priced at $565 find the percent of discount
Naya [18.7K]
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3 0
3 years ago
Find the unknown side length x. Write your answer in simplest radical form.
densk [106]
So the formula for this type of question is a(square) + b(square)=c(square)
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x= 2500-900
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7 0
3 years ago
Read 2 more answers
Still do not understand how its work
ollegr [7]

Answer:

Step-by-step explanation:

The slope or, gradient is the rate of change of a linear function( a function which can be represented by a line). We find a slope between two arbitrary  pair of points( arbitrary means what the question given us). One point we are given is (0,4) and an another point we are given is (2,1). Now we use the slope formula,

\frac{change in y }{change in x}

So let plug in the values,

\frac{4-1}{0-2}  =\frac{3}{-2} =-\frac{3}{2}

The slope is -3/2

6 0
3 years ago
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