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galben [10]
1 year ago
6

A particular sawdust pile has a base diameter of 25 feet when the height is 20 feet. Find the volume of this sawdust pile when i

t is 30 feet high.
Mathematics
1 answer:
Artist 52 [7]1 year ago
4 0

The volume of the sawdust pile is 11,039.06 ft³.

<h3>What is the volume of the pile?
</h3>

The shape of the sawdust pile would be a cone. The diameter is always proportional to its height.

Diameter = k x height

where k is equivalent to the rate of increase of the diameter with respect to the increase in height.

25= k20

k = 25 / 20

k = 1.25

Diameter when height is 30 ft = 1.25x 30 = 35.50 feet

Volume of the sawdust = \frac{1}{3}πr²h

Where:

  • π = 3.14
  • r = radius = diameter / 2 = 35.50 / 2 = 18.75
  • h = 30

\frac{1}{3} x 3.14 x 18.75² x 30 = 11,039.06 ft³

To learn more about the volume of a cone, please check: brainly.com/question/13705125

#SPJ1

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Answer:

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Step-by-step explanation:

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Additionally, we can calculate the perimeter of the circle, or the circumference, with the following formula:

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Where pi is an irrational number usually used as 3.14.

If you have doubts, try to draw a circle and measure the distance between the center and any point on the circle.

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A car dealership has five exterior color choices, six interior color choices, and two model choices. How many different ways cou
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Step-by-step explanation:

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3 years ago
What is the difference?
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Answer:

<h2>D. \frac{x^{2}+3x-12 }{(x-5)(x+3)(x+7)} \\ or StartFraction x squared + 3 x minus 12 Over (x + 3) (x minus 5) (x + 7) EndFraction</h2>

Step-by-step explanation:

Given the expression \frac{x}{x^{2}-2x-15 } - \frac{4}{x^{2} + 2x - 35 }, the dfference is expressed as follows;

Step1: First we need to factorize the denominator of each function.

\frac{x}{x^{2}-2x-15 } - \frac{4}{x^{2} + 2x - 35 }\\= \frac{x}{x^{2}-5x+3x-15 } - \frac{4}{x^{2} + 7x-5x - 35 }\\= \frac{x}{x(x-5)+3(x-5) } - \frac{4}{x( x+ 7)x-5(x +7) }\\= \frac{x}{(x-5)(x+3) } - \frac{4}{(x-5)(x +7) }\\\\

Step 2: We will find the LCM of the resulting expression

=  \frac{x}{(x-5)(x+3) } - \frac{4}{(x-5)(x +7) }\\= \frac{x(x+7)-4(x+3)}{(x-5)(x+3)(x+7)} \\= \frac{x^{2}+7x-4x-12 }{(x-5)(x+3)(x+7)} \\= \frac{x^{2}+3x-12 }{(x-5)(x+3)(x+7)} \\

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3 years ago
Find the common ratio of the sequence -80,20,-5,1.25
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Okay well here's what I got.

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2 years ago
An article in Medicine and Science in Sports and Exercise "Maximal Leg-Strength Training Improves Cycling Economy in Previously
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We have to construct a 99% confidence interval for the mean.

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The 99% confidence interval for the mean peak power after training is [299.4, 330.6]

5 0
3 years ago
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