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3 years ago

A silo is a composite of a cylindrical tower with a cone for a roof. Find the volume of the silo if the

Mathematics

1 answer:

xxMikexx [17]3 years ago

3 0

Answer:

5127079.21 cubic feet

Step-by-step explanation:

The silo is in the shape of a cylinder and a cone.

The volume of the silo will be the sum of the volumes of the cylinder and the cone.

Therefore, its volume is:

$V = \pi r^2h + \frac{1}{3} \pi rH$

where r = radius of cylinder and cone

h = height of cylinder

H = height of cone

The radius of the base is 120 feet, the height of the roof (cone) is 25 feet. The height of the entire silo is 130 feet. This means that the height of the cylinder is:

130 - 25 = 105 feet

Therefore, the volume of the silo is:

$V = (\pi * 120^2 * 105) + (\frac{1}{3} * 120^2 * 25)\\\\V = 4750088.09 + 376991.12\\\\V = 5127079.21 ft^3$

The volume of the silo is 5127079.21 cubic feet.

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2root 3 x 3 root 8 fully simplified

LuckyWell [14K]

Answer:

$12\sqrt{6}$

Step-by-step explanation:

<h3>Given expression</h3>

$2 \sqrt{3} *3\sqrt{8}$

<h3>Simplify the expression in steps as below</h3>

$2 \sqrt{3} *3\sqrt{8} =$
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Used properties in solution process:

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2 years ago

Convert 3,200,000 to scientific notation.

mixas84 [53]

The scientific notation of 3,200,000 is 3.2 * 10^6.
The number must be between 1 and 10, and we move the decimal 6 places to the left to get between 1 and 10.

4 0

4 years ago

Find the minimum cost of producing 50,000 units of a product, where x is the number of units of labor (at $36 per unit) and y is

erastovalidia [21]

Answer:

Step-by-step explanation:

Given problem: C(x,y) = 36x + 48y

constraint: 100x^0.6y^0.4

Using langrange Multiplier,

36 = 0.6(100)x^-0.4y^0.4λ i

48 = 0.4(100)x^0.6y^-0.6λ ii

dividing the equations we have:

x = 2y

substituting into the constraint

p(x,y) = 100 *(2y)^0.6 y^0.4 = 100*2^0.6 *y

5000 = 151.572y

y = 329.876 labor units

x = 659.752 capital units

Minimum cost = 36(659.752) +48(329.876) = $39585.12

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3 years ago

Ms. Mcmillan made her famous carrot shaped cakes for spring festival cookie tasting contest However, she only made 8 cookies. Wh

umka2103 [35]

She would have 24 peace’s or cookies

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4 years ago

What is the completely factored form of p4 – 16?

Svetlanka [38]

Answer:

(p+2)(p-2)(p²+4)

Step-by-step explanation:

The binomial p⁴-16 is a difference of squares. This is because p⁴ is a perfect square, as is 16. This means we can write it as the sum of the square roots multiplied by the difference of the square roots:

(p²+4)(p²-4)

The first binomial, p²+4, cannot be factored any further.

The second binomial, p²-4, is another difference of squares, since p² is a perfect square, as is 4:

(p+2)(p-2)

This gives us

(p²+4)(p+2)(p-2)

8 0

3 years ago

Read 2 more answers