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11Alexandr11 [23.1K]
2 years ago
9

Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min, and its coarseness is such that it forms a pile in the shap

e of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 15 ft high
Mathematics
1 answer:
ikadub [295]2 years ago
4 0

The height is increasing at the rate of (6/5π) ft/min.

It is given that Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. Also, its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.

For this, we need to find the volume of a cone. Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

The volume of a cone is - V=1/3hπr²

Learn more about integers here: brainly.com/question/20521181

#SPJ4

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A phone cost 199$ and is on sale for 25% off. What is the sale price?
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Answer:

<em>See below.</em>

Step-by-step explanation:

Divide the percentage by 100 to turn it into decimal form.

\frac{25}{100}=.25

Then, multiply the percentage by the original amount.

199*.25=49.75

Last, subtract that from the original price.

199-49.75=149.25

<em>Answer: </em>149.25

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Step-by-step explanation:

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a wire of length 200 cm is cut into two parts and each part is bent to form a square.If the area of the larger square is 9 times
diamong [38]

<em>Answer:</em>

<em>The perimeter of the larger square is 150cm.</em>

<em>Step-by-step explanation:</em>

<em>First of all, let one part of it be "x"</em>

<em>and the other part of it "200-x"</em>

<em>Now to solve this :</em>

<em>The area of the square = L^2</em>

<em>The area of one part of the square = x^2</em>

<em>The area of the other part of the square = (200-x)^2</em>

<em>9x^2= (200-x)^2\\9x^2=40000-400x+x^2</em>

<em></em>

<em>Now, add, -4x^2 to both the sides :</em>

<em>9x^2-9x^2=40000-400x+x^2-9x^2\\-1(8x^2+400x-40000)=0</em>

<em />

<em>Now, take out the "8" which is common :</em>

<em>-8(x^2+50x-5000)=0</em>

<em></em>

<em>Now, divide it by -8 :</em>

<em>x^2+100x-50x-5000=0\\x(x+100)-50(x+100)=0\\(x+100)(x-50)=0\\</em>

<em>x=-100 or 50</em>

<em />

<em>So, now we know that :</em>

<em>One of the part is = 50cm</em>

<em>And the other part is = 150cm</em>

<em />

<em>Thus the perimeter of the larger square is = 150cm</em>

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Answer:

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