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
drek231 [11]
3 years ago
5

Aran moved a cone-shaped pile of sand that had a height of 4 ft and a radius of 3.2 ft. He used all of the sand to fill a cylind

rical pit with a radius of 6 ft. How high did the sand reach in the pit? Use 3.14 to approximate pi and round your answer to one decimal place.
Mathematics
1 answer:
Yuliya22 [10]3 years ago
5 0
So volue of a cone=area of circle base times heigt times 1/3

height=4
area of base=pi times r^2
area of abse=aprox 3.14 times 3.2^2=32.1536
32.1536 times 4 times 1/3=32.1536 times 4/3=42.87 the amount of sand is 42.9 ft^3
You might be interested in
Which quiz did met have a better score?
MaRussiya [10]
I'm her first quiz she did better, this is going to be hard to explain but pay attention 92% as a decimal is 92/100 keep this in mind, then 27 out of 30 question we try to make 30 go into 100 but we know 30 can't go into 100 without a decimal so what we do is we change the decimal to 90 so for the 27 out of 30 it is now 81/90, now we need to change the denominator in 92/100 to 90 so we subtract 10 from the numerator and denominator to get 82/100 so compare the 2 decimals you got 81/90 and 82/90 and you find that 82/90 is bigger so she did better on the first quiz
7 0
3 years ago
Read 2 more answers
How many inches are in 3 feet
mart [117]
36 inches are in 3 feet
5 0
3 years ago
Read 2 more answers
Chris ran two miles in physical education class. How many feet did Chris run? A. 15,840 ft B. 11,560 ft C. 10,560 ft D. 2,640 ft
Arada [10]

Answer:

10,560

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Simplify 5/15 and 14/8
umka2103 [35]

Answer:5/15 equals 1/3

Step-by-step explanation: i just simplified

3 0
3 years ago
In a certain chemical reaction, a substance is converted into another substance at a rate proportional to the square of the amou
morpeh [17]

Answer:

Q (t) =  \frac{90}{7t +2 }

Q(2) = 5.63 \ g

Step-by-step explanation:

Let Q(t) be the first substance at time t. We know that the rate of change is directly proportional to Q^2.

Hence we can write it as:

\frac{dQ}{dt} \propto Q^2\\\\\frac{dQ}{dt} = kQ^2

<u>Step 1: Integrating the function to form an equation:</u>

<u />\frac{dQ}{dt} = kQ^2\\\\\frac{dQ}{Q^2} = k \ dt\\\\\int  \frac{dQ}{Q^2} = \int k \ dt\\\\- \frac{1}{Q} = kt + C   ----------------------------------------------- equation (1)

<u>Step 2: Substitute the value Q(0) = 45 in equation 1 to find value of C.</u>

<u />-\frac{1}{Q} = kt + C\\\\-\frac{1}{45} = k(0) + C\\\\-\frac{1}{45} = C\\\\\\-\frac{1}{Q} = kt - \frac{1}{45}\\---------------------------------------------- equation (2)

<u>Step 3: Substitute the value Q(1) = 10 in equation 2 to find the value of k.</u>

<u />-\frac{1}{Q} = kt - \frac{1}{45}\\\\-\frac{1}{10} = k(1) - \frac{1}{45}\\\\-\frac{1}{10} - \frac{1}{45} = k \\\\\frac{2-9}{90} = k\\\\-\frac{7}{90} = k

<u>Step 4: Form the equation and simplify it.</u>

<u />-\frac{1}{Q} = -\frac{7}{90} t - \frac{1}{45}\\  \\\frac{1}{Q} = \frac{7}{90}t + \frac{2}{90}\\\\\frac{1}{Q} = \frac{7t + 2}{90}\\\\\\\bullet \ cross - multiply \ the \ equation \\\\Q = \frac{90}{7t + 2}<u />

<u />

<u>Step 5: To find the amount of substance after 2 hours, we substitute the value of t with 2.</u>

<u />Q = \frac{90}{7t + 2}\\\\Q = \frac{90}{7(2) + 2}\\\\Q = \frac{90}{14+ 2}\\\\Q = \frac{90}{16}\\\\Q = 5.625 \approx 5.63<u />

<u />

The amount of substance after 2 hours is 5.63 grams.

5 0
3 years ago
Other questions:
  • 12,11,28,27,44,43,60,59 what number pattern?
    7·2 answers
  • This is algebra 1 math problem <br>f (×)=2/5x+10
    13·1 answer
  • (x*2y*4z)*5 (xy)*2<br> Simplify expression
    11·2 answers
  • What’s the answer????
    9·1 answer
  • Erik buys carrots and dip for a class snack. The carrots are $3.80, and the dip is$2.60. Erik has a coupon for 5% off his grocer
    11·2 answers
  • Given f(x) = 2x2+3 fins f(-3)
    9·1 answer
  • Answer is due in 1 hour!
    6·1 answer
  • Which of these variables could be investigated ONLY through observational studies?
    12·2 answers
  • 7 trillion divide by 5 is what
    14·1 answer
  • PLEASE URGENT (quadratic formula with step by step) 35 points!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!