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Ivenika [448]
3 years ago
14

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27 pi

cm^3 cubed of melted purple liquid. The radius of the cone is 3 cm.
What is the height of the cone?
Either enter an exact answer in terms of pi or use 3.14 for pi.
Mathematics
1 answer:
Lerok [7]3 years ago
7 0

Answer:

9 cm

Step-by-step explanation:

Use the cone volume formula, V = \pir²\frac{h}{3}

Plug in the volume and radius, and solve for h, the height:

V = \pir²\frac{h}{3}

27\pi = \pi(3²)\frac{h}{3}

27\pi \\ = 9\pi\frac{h}{3}

3 = \frac{h}{3}

9 = h

So, the height of the cone is 9 cm

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Answer:

8989

Step-by-step explanation:

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3 years ago
Whitney kicks a football off the ground. The height, h , in feet, of the football above the ground after t seconds is given by h
malfutka [58]

Answer:

<em>after 4seconds</em>

Step-by-step explanation:

Given the height, h , in feet, of the football above the ground after t seconds expressed by h ( t ) = − 8 t^2 + 32 t, the height of the ball on the ground is 0feet.

Substitute h(t) = 0 into the expression and calculate t;

h ( t ) = − 8 t^2 + 32 t

0 = − 8 t^2 + 32 t

8t² = 32t

8t = 32

Divide both sides by 8

8t/8 = 32/8

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5 0
3 years ago
I need help on 1/2/3/4
vaieri [72.5K]

You may need to sit down with your parents or with your teacher and
go over how to add and subtract fractions.

1).  "Perimeter" means the distance all the way around the square.
With a square, all 4 sides are the same length.  With <u>this</u> square,
every side is 1-1/4 inches long.

Perimeter = length of all 4 sides= (1-1/4) + (1-1/4) + (1-1/4) + (1-1/4) =

                                               (1 + 1 + 1 + 1) + (1/4 + 1/4 + 1/4 + 1/4) =

                                                         4           +             4/4  =  <em>5 inches</em> .

2).  (2-3/8) + (1-7/8) = (2 + 1) + (3/8 + 7/8) =

                                        (3)   +    (10/8) =

                                         3    +      1-1/4 =        <em>4-1/4 .</em>

3).  The difference is  (1-1/6) minus (5/6) .

Before you start to do the subtraction, write the (1-1/6)  as  (7/6) .

Then the subtraction is    (7/6) - (5/6)  =  2/6  =  <em>1/3</em> .

4).  This one is almost the same kind of problem as #3. 
It's another subtraction.

If you need (2-1/4) all together, and you already have (1-3/8),
then the amount you still have to find, or borrow, or buy, is the
difference between those two numbers.

           (2-1/4) minus (1-3/8) .

The trick is to write the (2-1/4) in some form that you'll be able to
subtract (1-3/8) from it.  When I learned how to do that, it was called
'borrowing', but I think now it's called 'regrouping'.

We need to work on (2-1/4):

-- take 1 from the 2, and change it into fourths.
 
                 2-1/4  =  1 and 4/4 and 1/4  =  1 and 5/4

-- Now, take those 5/4, and turn them into eighths.                
   Each fourth makes 2 eighths.  So  5/4  =  10/8.

Now, the (2-1/4) has turned into  1-10/8 .
We did NOT change the value.  It's still the same amount
as 2-1/4 , but it's just written in a different way.
And now the subtraction is easy:

         (2-1/4) minus (1-3/8)  = 

       (1-10/8) minus (1-3/8)  =  (zero and 7/8).

You need  <em>7/8 inch</em>  more string than you already have.

         

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