1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vampirchik [111]
3 years ago
14

A silo is in the shape of a cone. The silo is 7 meters tall, and its base has a radius of 1.5 meters. Rice costs 204$ per cubic

meter. How much will it cost to fill the silo with rice?
Mathematics
1 answer:
olganol [36]3 years ago
3 0

Answer:

  $3364.65

Step-by-step explanation:

The volume of the cone is given by the formula ...

  V = (1/3)πr²h

Filling in the given numbers, we find the volume to be ...

  V = (1/3)π(1.5 m)²(7 m) = 5.25π m³ ≈ 16.49336 m³

The cost of the rice will be the product of this volume and the price per cubic meter:

  cost = (16.49336 m³)($204/m³) = $3364.65

The cost of the rice necessary to fill the volume is $3364.65.

_____

<em>Comment on pi</em>

If you use the value 3.14 for pi, the cost comes to $3362.94. A 3-digit value of pi only gives an answer good in its first 3 digits.

You might be interested in
Charles is reading about computers. He learns that a computer processor can perform one command in approximately 0.000000016 n
Andru [333]
To convert our number to scientific notation, we are going to move the decimal point to the right until we have only one non-zero digit to the left of the decimal point, and then, we are going to multiply that number by a negative power of 10 equal to the number of times we moved the decimal point to the right:
<span>
Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have </span>only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e. 10^{-8}.
So 0.000000016 expressed in scientific notation is 1.6x10^-8, or in calculator notation 1.6E-8

We can conclude that the correct answers are <span>1.6E-8 and </span><span>1.6 × 10-8</span>
3 0
3 years ago
Read 2 more answers
A hackberry tree has roots that reach a depth of
Degger [83]

Answer:

24.6967 meters

Step-by-step explanation:

The roots of the tree go 6 and 5 over 12 meters below the ground level.

Now, 6 and 5 over 12 meters is equivalent to 6.4167 meters.

Again the top of the tree is 18.28 meters high from the ground level.

Therefore, the total height of the tree from the bottom of the root to the top is  

(6.4167 +18.28) = 24.6967 meters (Answer)

5 0
3 years ago
Analyze the diagram below and answer the question that follows. 2004-02-03-05-00_files/i0500000.jpg Which of the following is no
meriva
I think the answer is d.8
6 0
3 years ago
the ratio of students at a school is 3 boys for every 4 girls. If there are 52 girls how many boys are in the school
vova2212 [387]
There are 39 boys. 
First you divide 4 into 52 because there are 3 boys for 4 girls. 
Then you take the quotient, 13, and multiply by 3.
3 0
3 years ago
Let sugar be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 57 + 2.5x?
algol13

Answer: Choice E)

The amount of calories in fruit juice increases by 2.5 for every one gram of sugar. The calorie amount estimated by this model is 57 if there are zero grams of sugar.

=============================================================

Explanation:

x = amount of sugar (in grams)

y = number of calories in the juice

ŷ = estimate of y, so its the estimate of calories in the juice

The regression equation rearranges to ŷ = 2.5x + 57

This is in the form y = mx+b where m = 2.5 is the slope and b = 57 is the y intercept.

The slope tells us what the rate of change is. Specifically, it tells us how much the amount of calories (y) is going up each time the amount of sugar (x) goes up. Each time x goes up by 1, y goes up by 2.5

The y intercept 57 is the starting or initial amount of calories. If you have 0 grams of sugar, the lowest amount of sugar possible, then you start off with 57 calories. We can see this by plugging x = 0 into ŷ = 2.5x + 57 (you should get ŷ = 57). Visually, the y intercept is where the line crosses the y axis.

All of these facts point to choice E as the final answer.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the Mean and MAD of the data set: 7, 6, 17, 8, 7, 9
    11·2 answers
  • Ray cuts out a figure that has 4 equal sides and no right angles. What is the best name for the figure?
    5·3 answers
  • a bathroom faucet that is fully open,usually release at about 95 milliliters per second.how many liters of water are released in
    13·2 answers
  • 3 tickets to the museum cost 12.75 at this rate what is the cost of 1ticket
    11·2 answers
  • 3 + p = 8 <br><br><br> I just don't know the steps to do this! Help me
    12·2 answers
  • 1. which of the following transformations are rigid motions?
    13·2 answers
  • THIS IS DUE IN 45 MIN HELPPPPP 13 POINTS
    5·1 answer
  • Kendra plans to go to the gym on 15 different days this month.
    10·1 answer
  • Solve the equation. (5x+7)(8x-9)=0
    10·2 answers
  • What is equivalent to 6x=3+4=5+3x+4?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!