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garri49 [273]
2 years ago
9

00:57

Mathematics
1 answer:
prisoha [69]2 years ago
5 0
<h3>Given:</h3>
  • h= 19 ft
  • r= 12 ft
<h3>Note that:</h3>
  • h= Height
  • r= Radius
<h3>To find:</h3>

The volume of the given cone.

<h3>Solution:</h3>

\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}

\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}

Let's solve!

Substitute the values according to the formula.

V=\frac{1}{3}×3.14×{12}^{2}×19

\large\boxed{V=2863.68 \: {ft}^{3}}

<u>Therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>cone</u><u> </u><u>is</u><u> </u><u>2863.6</u><u>8</u><u> </u><u>cubic</u><u> </u><u>feets</u><u>.</u>

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Kelsey loves music and has a playlist every occasion. On her dance part playlist, she has 15 rock songs and 25 country song. On
Aloiza [94]

Answer:

Yes

Step-by-step explanation:

Givens

Original Ratios (rock : country)

Dance --> 15 : 25

Summer --> 9 : 15

Simplify

<u>Dance</u>

15 : 25 all divided by 5

<em>3 : 5</em>

<u>Summer</u>

9 : 15 simplify by dividing everything by 3

<em>3 : 5</em>

Yes, it is the same ratio for rock and country songs for both parts of the playlist.

<u />

3 0
3 years ago
X+3y = — 15<br>slove linear system graphically​
Dmitrij [34]

Answer:

x=−3y−15

Step-by-step explanation:

Let's solve for x.

x+3y=−15

Step 1: Add -3y to both sides.

x+3y+−3y=−15+−3y

x=−3y−15

Answer:

x=−3y−15

3 0
4 years ago
If a cone and sphere have the same radius and the same height, what is the relationship among the volumes of the two shapes?
Korvikt [17]

Answer:

the volume of the sphere will be 4 times the volume of the cone;

Step-by-step explanation:

<u>The question is on volume comparison</u>

Volume of a sphere=4/3 \pi×r³

Volume of a cone= \pi/3×r²h

where r is the radius and h is the height

<u>Apply the condition</u>

If r=h=1 unit

Then volume of sphere will be= 4/3 × \pi×1³ = 4/3\pi

And volume of the cone will be= \pi/3 ×1²×1 =\pi/3

We can see the volume of the sphere will be 4 times the volume of the cone;

4/3\pi = 4×\pi/3

3 0
4 years ago
Find a linearly independent set of vectors that spans the same subspace of r4 as that spanned by the vectors
dlinn [17]
Idk maybe you of study and you would had knowed


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5 + 5x = 8 + 2x is the equation.
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3 years ago
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