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3 years ago

Radius of cylinder = 5 cm

Mathematics

2 answers:

Kisachek [45]3 years ago

7 0

Answer:

C 1055 04 cm

Step-by-step explanation:

We don't need to see the figure, since we know for sure the cone fits into the cylinder (smaller diameter and height).

So, we first need to calculate the volume of the cylinder, which is given by the formula:

VT = π * r² * h

VT = 3.14 * 5² * 16 = 3.14 * 400 = 1,256 cubic cm

Then we calculate the volume of the cone, which is given by:

VC = (π * r² * h)/3

VC = (3.14 * 4² * 12)/3 = (3.14 * 192)/3 = 200.96 cu cm

Then we calculate the void space left inside the cylinder by subtracting the volume of the cone from the volume of the cylinder:

NV = VT - VC = 1,256 - 200.96 = 1,055.04 cu cm

kramer3 years ago

4 0

Answer:

C)1055.04cm^3

Step-by-step explanation:

(picture explains)

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2x+3y=1 and y=-2 - 9 solve using linear combination method. Please explain steps.

kaheart [24]

Answer:

$x=17$

Step-by-step explanation:

$2x+3y=1$

$y=-2-9$

In order to combine these two equations, an idea you need to keep in mind is finding a way of setting these equations as equal to each other. I saw that each equation shared a common value, $y$ . In this case, we need to isolate $y$ in the first equation so that both equations $=y$ .

$2x+3y=1$

$3y=-2x+1$

$\frac{3y}{3}=\frac{-2x+1}{3}$

$y=-\frac{2}{3}x+\frac{1}{3}$

With this, we now know that both $-2-9$ and $-\frac{2}{3}x+\frac{1}{3}$ are equal to $y$ , so we can set them equal to each other.

$y=-\frac{2}{3}x+\frac{1}{3}$

$y=-11$

$-\frac{2}{3}x+\frac{1}{3}=-11$

Reply to this if anything I'm saying or doing is confusing in any way, or if you find a mistake. :) Solve for $x$ .

$-\frac{2}{3}x+\frac{1}{3}=-11$

$-\frac{2}{3}x=-11-\frac{1}{3}$

$-\frac{2}{3}x =-\frac{33}{3}-\frac{1}{3}$

$-\frac{2}{3}x =-\frac{34}{3}$

$-\frac{2}{3}x(-\frac{3}{2})=-\frac{34}{3}(-\frac{3}{2})$

$x=\frac{102}{6}=17$

$x=17$

Hopefully this answer is correct AND makes sense in terms of how I achieved it. Again, reply to this with any questions or mistakes I made and I'll do my best to answer or fix them.

4 0

3 years ago

Please help i don’t understand this

sergij07 [2.7K]

yes it does have enough to cover the cube

8 0

3 years ago

What does P(X4=2,X3=3,X2=3,X1=2)

Dmitriy789 [7]

Answer:

its b

Step-by-step explanation: