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
Multiply 9/4 x 14<br><br> -23/4<br> -28<br> -63/2
Tatiana [17]

Answer:

<h2>\frac{63}{2}</h2>

Step-by-step explanation:

14 =  \frac{14}{1}

\frac{9}{4}  \times  \frac{14}{1}  =  \frac{126}{4}  =  \frac{63}{2}

6 0
2 years ago
Read 2 more answers
To measure the height of a tree, a surveyor walked a short distance from the tree and found the angle of elevation was 43.9°, th
padilas [110]

Answer:

The height of the tree is H = 77.06 m

Step-by-step explanation:

From Δ ABC

AB = height of the tree

\tan 43.9 = \frac{AB}{BC}

\tan 43.9 = \frac{h}{x}

h = 0.9623 x ------- (1)

From Δ ABD

\tan 37.6 = \frac{h}{20+ x}

h = 0.77 (x + 20) ----- (2)

Equating Equation  1 & 2 we get

0.9623 x =  0.77 (x + 20)

0.9623 x = 0.77 x + 15.4

x (0.1923) = 15.4

x = 80.08 m

Thus the height of the tree is given by

H = 0.9623 x

H = 0.9623 × 80.08

H = 77.06 m

Therefore the height of the tree is H = 77.06 m

4 0
3 years ago
In spherical geometry, all points are points on the surface of a sphere. A line is a circle on the sphere whose diameter is equa
mamaluj [8]

Answer: It is not possible that two triangles that are similar and not congruent in spherical geometry.

Step-by-step explanation:

For instance, taking a circle on the sphere whose diameter is equal to the diameter of the sphere and inside is an equilateral triangle, because the sphere is perfect, if we draw a circle (longitudinal or latitudinal lines) to form a circle encompassing an equally shaped triangle at different points of the sphere will definately yield equal size.

in other words, triangles formed in a sphere must be congruent and also similar meaning having the same shape and must definately have the same size.

Therefore, it is not possible for two triangles in a sphere that are similar but not congruent.

Two triangles in sphere that are similar must be congruent.

8 0
3 years ago
15/40 in lowest term I need it so bad now
Vesnalui [34]

In order to reduce ANY fraction to lowest terms, find any common factors
of the numerator and denominator, and divide them both by it.  If they still
have a common factor, then divide them by it again.  Eventually, they won't
have any common factor except ' 1 ', and then you'll know that the fraction is
in lowest terms.

Do  15  and  40  have any common factors ?
Let's see . . .

The factors of  15  are  1,  3,  <em>5</em>, and  15 .
The factors of  40  are  1,  2,  4,<em>  5</em>,  8,  10,  20, and  40 .

Ah hah !  Do you see that ' <em>5</em> ' on both lists ?  That's a common factor.

So  15/40  is NOT in lowest terms.

Divide the numerator and denominator both by  5 :

       15 / 40  =<em>  3 / 8</em>

3  and  8  don't have any common factor except ' 1 '. 
So  3/8  is the same number as  15/40, but in lowest terms.


5 0
3 years ago
Read 2 more answers
Factorise fully 6ac + 10ac​
ikadub [295]

Step-by-step explanation:

6ac+10ac

2ac(6ac+10ac)

2ac(3+5)

4 0
3 years ago
Other questions:
  • Please I need some answers just a few are fine
    13·1 answer
  • Please help ASAP 30 points
    13·1 answer
  • What is the area of the following circle? D = 8
    14·1 answer
  • Four boxes shown in order from largest volume to smallest
    5·1 answer
  • Segment length geometry honors
    9·2 answers
  • Identify the property that is being used to solve the problem:
    15·1 answer
  • | 2. On rectangle ABCD below, if A is located at
    7·1 answer
  • Rob scored 45 points this season. He scored 5 times more than Jake. How many points did Jake score this season? Write an equatio
    11·2 answers
  • Perform the indicated operations:<br> 2/x-2+x/x+9-x+20/x2+7x-18
    15·1 answer
  • Please answer this !!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!