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3 years ago

A solid metal cone has a radius of 4cm and a vertical height of 12cm.

Mathematics

1 answer:

pochemuha3 years ago

7 0

V=Pi(3.14)R^2(h/3)

V=volume
R=radius
H=hight

V=(3.14)(4cm^2)(12/3)

V≈201.06

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Gelneren [198K]

Answer:

b=-1

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Musya8 [376]

Answer:

Option (a)

Step-by-step explanation:

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3 years ago

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jekas [21]

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3 years ago

A rectangular parking area measuring 5000 ft squared is to be enclosed on three sides using chain-link fencing that costs $5.5

kaheart [24]

Answer:

Dimensions: 75.3778 ft and 66.3325 ft

Minimum price: $1658.31

Step-by-step explanation:

Let's call the length of the parking area 'x', and the width 'y'.

Then, we can write the following equations:

-> Area of the park:

x * y = 5000

-> Price of the fences:

P = 2*x*5.5 + y*5.5 + y*7

P = 11*x + 12.5*y

From the first equation, we have that y = 5000/x

Using this value in the equation for P, we have:

P = 11*x + 12.5*5000/x = 11*x + 62500/x

To find the minimum of this function, we need to take its derivative and then make it equal to zero:

dP/dx = 11 - 62500/x^2 = 0

x^2 = 65000/11

x = 250/sqrt(11) = 75.3778 ft

This is the x value that gives the minimum cost.

Now, finding y and P, we have:

x*y = 5000

y = 5000/75.3778 = 66.3325

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4 years ago