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shtirl [24]
3 years ago
11

You want to make cylindrical containers of a given volume V using the least amount of construction material. The V

Mathematics
1 answer:
Rudik [331]3 years ago
4 0

Answer:

8/π

Step-by-step explanation:

Volume of the cylinder is:

V = πr²h

Surface area of the cylinder (with square top and bottom) is:

A = 2πrh + 8r²

Use the volume equation to write h in terms of r.

h = V / (πr²)

Substitute into the area equation:

A = 2V / r + 8r²

Take derivative with respect to r.

dA/dr = -2V / r² + 16r

Set to 0 and solve for r.

0 = -2V / r² + 16r

2V / r² = 16r

2V = 16r³

V = 8r³

Plug into the volume equation.

8r³ = πr²h

8r = πh

h / r = 8 / π

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Step-by-step explanation:

We have to find the probability that shows yellow dice has a larger value than the red dice.

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in our case, considering the data set, we have to find those pair where value of yellow die is greater than the red die. Where (1,2) represents 1 on the red die and 2 on the yellow die

(1,2) (1,3) (1,4) (1,5) (1,6)

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These are the possibilities where yellow die has greater value than red die.

total no of favorable outcomes = 15

total no of outcomes = 36

probability that yellow die has greater value than red die = 15 / 36

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