5(4x+6) simplify and solve

SOMEONE HELP?!! ASAP !! I’ll give brainliest!! Please and ty !!

dsp73

Answer:

$(\pi 4^2 (9))-(\pi 2^2 (9))$

and

$339.292 cm^3$

Step-by-step explanation:

This question is simple once you break it down.

Let's concentrate on the outer cylinder.

First, find the volume of the outer cylinder.

The volume of a cylinder is expressed as: $V = \pi r^2 h$

Gathering information from the diagram..

d = 8 cm

h = 9 cm

You can get the radius from the diameter by just dividing the diameter by 2.

$r = \frac{8}{2}=4$

r = 4

Plug everything into the volume equation.

$V = \pi 4^2 (9)$

Don't solve just yet!

Now, find the volume of the inner cylinder.

Do the exact same thing as you did for the outer cylinder.

d = 4 cm

h = 9 cm

$r = \frac{4}{2}=2$

r = 2

Plug everything into the volume equation..

$V = \pi 2^2 (9)$

The question asks for an expression to represent the volume of the large cylinder after the cylindrical hole is removed. This means you need to subtract the volume of the cylindrical hole from the volume for the large cylinder.

Again, the volume for the large cylinder is $V = \pi 4^2 (9)$ and the volume for the cylindrical hole is $V = \pi 2^2 (9)$

This means..

$(\pi 4^2 (9))-(\pi 2^2 (9))$

That is your answer to the first part of the question.

For the second part, just solve.

$(\pi 4^2 (9))-(\pi 2^2 (9))$

$(\pi*16*9)-(\pi*4*9)$

$(\pi*144)-(\pi*36)$

$144\pi-36\pi$

$108\pi$

$339.292$

Don't forget the units.

$339.292 cm^3$

Hope this helped you!

3 0

3 years ago

Read 2 more answers

The price of a hat is $27.When it goes on sale, it wll be 1/3.How much would you save if you were to buy ti on sale

Bond [772]

Answer:

You would save $18

Step-by-step explanation:

(27/3)*2 = $18

5 0

3 years ago

they can chose from blue,red or green shorts and white ,black or purple shirts and yellow or orange socks How many combinations

HACTEHA [7]

There are 18 possible combinations

8 0

3 years ago

I need the parent function and the transformation with some explanation, thank you.

True [87]

Answer:

parent: y = x²
transformed: y = -3x² +4

Step-by-step explanation:

You have correctly recognized that the function is quadratic, so has parent function y = x².

__

You may notice that the function drops by 3 units when x increases or decreases by 1 unit from the vertex. That factor (-3) is the vertical scale factor in the transformed function ...

f(x) = a(x -h)² +k

where "a" is the vertical scale factor and (h, k) is the location of the vertex of the transformed function.

We note that the graphed function has its vertex at (h, k) = (0, 4), so the complete transformed function with a=-3, h=0, k=4 is ...

f(x) = -3x² +4

7 0

3 years ago

Solve the equation.<br> 7-4(2w + 1) = 9w-49+ w)<br> EEE.<br> W=<br> (Simplify your answer.)

tatiyna

$7 - 4(2w + 1) = 9w - 49 + w \\ 7 - 8w - 4 = 10w - 49 \\ 10w + 8w = 7 - 4 + 49 \\ 18w = 52 \\ w = \frac{52}{18} \\ w= 2.88$

I hope I helped you^_^

8 0

3 years ago