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
DaniilM [7]
3 years ago
8

If you have an old fish tank in the form of a circular cylinder and it is 2 feet in diameter and 6 feet tall, how many cubic fee

t of water does it hold?
Mathematics
1 answer:
yuradex [85]3 years ago
7 0

Answer:

The old fish tank hold <u>18.84 cubic feet</u> of water.

Step-by-step explanation:

Given:

An old fish tank in the form of a circular cylinder and it is 2 feet in diameter and 6 feet tall.

Now, to find the cubic feet of water the fish tank hold.

Dimensions of old fish tank are:

<em>Diameter is 2 feet so. we find the radius first.</em>

Radius (r) = \frac{Diameter}{2}=\frac{2}{2}=1\ feet.

Height (h) = 6\ feet.

Now, to get the cubic feet off water the tank hold we put formula:

<u><em>(Taking the value of π as 3.14.)</em></u>

Volume=\pi r^2h\\\\Volume=3.14\times 1^2\times 6\\\\Volume=3.14\times 1\times 6\\\\Volume=18.84\ cubic feet.

Therefore, the old fish tank hold 18.84 cubic feet of water.

You might be interested in
What is the coefficient of x2y3 in the expansion of (2x + y)5?
Zigmanuir [339]

Option C:

The coefficient of x^{2} y^{3} is 40.

Solution:

Given expression:

(2 x+y)^{5}

Using binomial theorem:

(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}

Here a=2 x, b=y

Substitute in the binomial formula, we get

(2x+y)^5=\sum_{i=0}^{5}\left(\begin{array}{l}5 \\i\end{array}\right)(2 x)^{(5-i)} y^{i}

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.

$=\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}+\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1}+\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}+\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}

                                                            $+\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}+\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}

Let us solve the term one by one.

$\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}=32 x^{5}

$\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1} = 80 x^{4} y

$\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}= 80 x^{3} y^{2}

$\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}= 40 x^{2} y^{3}

$\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}= 10 x y^{4}

$\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}=y^{5}

Substitute these into the above expansion.

(2x+y)^5=32 x^{5}+80 x^{4} y+80 x^{3} y^{2}+40 x^{2} y^{3}+10 x y^{4}+y^{5}

The coefficient of x^{2} y^{3} is 40.

Option C is the correct answer.

5 0
3 years ago
A pair of vertical angles has measures (3x+4)° and (7x-9)°<br> What is the value of x?
Andrei [34K]
Since they are vertical they are equal to each other.

3x + 4 = 7x - 9
4 = 4x - 9
13 = 4x 
3.25 = x

So the value of x is 3.25.

Hope this helps :)
5 0
3 years ago
Hallie bought 20 lollipops for $0.25 each and 15 peppermint patties for $0.35. How much money did Hallie spend on candy?
Nastasia [14]

Answer:

She spent $10.25 on candy.

Step-by-step explanation:

Step 1- Multiply

20×0.25= 5

15×0.35= 5.25

Step 2- Add

5+5.25= 10.25

7 0
3 years ago
Read 2 more answers
Please answer both zoom close so you can see the picture.
Iteru [2.4K]
Well I only know the first one
3 0
3 years ago
Factor 6x^2-4x I need help solving please
horrorfan [7]

Answer:

2x(3x-2)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is The exact value of 5.3 million × 2.7 thousand
    6·1 answer
  • Which ordered pair is a solution to the equation y = 6x - 4? The answer choices are A) (2, 1)
    5·2 answers
  • Describe a pentagonal prism.
    8·1 answer
  • Find the slope of the line represented by the table of values.
    6·2 answers
  • The length of a rectangle is 3 times longer than it’s width. If the area of the rectangle is 24 square inches, then what is the
    12·1 answer
  • (6) 5hrs 15min<br> - 3hrs 35min<br><br> Please show the work
    6·1 answer
  • Find the area of the figure 27 1/2 yd and 17 1/5 yd​
    9·2 answers
  • I WILL GIVE 100 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. Refer to the given figure and select the answer that correctly c
    14·2 answers
  • Please answer! thanks
    15·2 answers
  • Find the number that makes the ratio equivalent to 4:5. 28:_
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!