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
Inessa [10]
3 years ago
14

Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. how high

is the pile (to the nearest hundredth of a foot) when it contains 1110 ft3 of grain?
Mathematics
1 answer:
bezimeni [28]3 years ago
7 0

Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.

So if D is the diameter and h is the height of the conical pile then we can write:


D=3h

We know that diameter = 2r, where r is the radius

2r=3h

r=\frac{3h}{2}

Volume of conical pile is given by formula

V=\frac{1}{3}\pi r^2h

Given that volume is 1110 cubic feet.

Now plug the values of Volume and r into equation of volume

1110=\frac{1}{3}\pi (\frac{3h}{2})^2h

1110=\frac{1}{3}\pi\cdot\frac{9h^2}{4}\cdot h

1110=\pi\cdot\frac{3h^3}{4}

1110\cdot\frac{4}{3\pi}=h^3

471.098631552=h^3

take cube root of both sides

7.78103342467=h

Hence height is approx 7.78 feet.

You might be interested in
Please help. with question number 16 ​
ddd [48]

Answer:

12/5

Step-by-step explanation:

All you do is multiply

8 0
3 years ago
What is 23 over 18 in simplest form
tatuchka [14]
\frac{23}{18} is already in simplest form because 23 is a prime number, which means that it is only divisible by 1 and itself (23). Hope this helps! :)
6 0
3 years ago
Please help if you can thanks ^^
Neko [114]

Given:

AD is an angle bisector in triangle ABC. m\angle CAB=44^\circ, m\angle ACB=72^\circ, m\angle ABC=64^\circ.

To find:

The value of m\angle ADC.

Solution:

AD is an angle bisector in triangle ABC.

m\angle CAD=m\angle BAD=\dfrac{m\angle CAB}{2}

m\angle CAD=m\angle BAD=\dfrac{44^\circ}{2}

m\angle CAD=m\angle BAD=22^\circ

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

Using angle sum property in triangle CAD, we get

m\angle CAD+m\angle ADC+m\angle ACB=180^\circ

22^\circ+m\angle ADC+72^\circ=180^\circ

m\angle ADC+94^\circ=180^\circ

m\angle ADC=180^\circ-94^\circ

m\angle ADC=86^\circ

Therefore, the angle of angle ADC is 86^\circ.

3 0
3 years ago
Ill give brainliest
Luden [163]

Answer:

Definetly corresponding

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the HCF a²b²b^4, ab²- b³ and ab(a-b)^4​
serious [3.7K]

Answer:

Now,a

2

b

2

−ab

2

=ab

2

(a−b)

and

ab

2

−b

3

=b

2

(a−b)

Therefore,therequiredhcfbe

=b

2

(a−b)

8 0
3 years ago
Other questions:
  • Show that log√7 + log√20 - log√14 = 1/2
    6·1 answer
  • In the town zoo 3/28 of the animals are birds of the birds for 4/15 are birds of prey what fraction of the animals at the zoo ar
    5·2 answers
  • I need him with this picture please its important!!!!!!!! 14 points
    8·1 answer
  • You want to find out whether caffeine mitigates the effect of alcohol on reaction time. To study this, you administer to your su
    12·1 answer
  • The school council voted on their two candidates to become their student council president. The number of votes for candidate on
    10·2 answers
  • Plsss hellppp I give brainliest but earn it
    6·2 answers
  • Please help. I’m struggling to answer this
    9·1 answer
  • Select all expressions that are equivalent to 2 · 2 · 2 · 2 · 2 · 2
    13·2 answers
  • (Calculus)
    6·2 answers
  • A right triangle has a height of 27 inches and a base of 30 inches what is the area of the triangle
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!