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bezimeni [28]
3 years ago
7

What is the exact volume of the cylinder?

Mathematics
1 answer:
Novay_Z [31]3 years ago
6 0
The answer is:  " 128π in³ " .
__________________________________________
Note:  The formula/equation for the volume of a cylinder is:

V = Base area * height.

The base area is a circle:  A = π r²  ;  r= radius;

So , the formula/ equation for the volume of a cylinder is:
________________________________________________
 V = π r² * h ;   (h = "height").

Given:  r = radius = 4 in. (given) ; 
 
            r² = (4 in.)² = (4 in.)*(4 in.) = 16 in.² .

            h = height = 8 in. (given).
_____________________________________
V = π r² * h  ; 

V = π * 16 in² * 8 in.  ;

V =  π * 128 * in² * in. ;

V = 128 π  in³ .
_____________________________________
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What is the solution for this system of equations? <br>y= -1/4x + 6<br>y= x+1​
snow_lady [41]

9514 1404 393

Answer:

  (x, y) = (4, 5)

Step-by-step explanation:

Equating the expressions for y gives ...

  -1/4x +6 = x +1

  5 = 5/4x . . . . . . . add 1/4x-1

  4 = x . . . . . . . . . . multiply by 4/5

  y = x +1 = 4 +1

  y = 5

The solution is (x, y) = (4, 5).

3 0
2 years ago
In the diagram, FG=34, GH=288, and HJ=256. Is GH tangent to circle F?
Anastaziya [24]

Answer:

No

Step-by-step explanation:

If GH is tangent to circle F, then it forms a right angle with FG.  Therefore, triangle FGH would be a right triangle and would satisfy Pythagorean theorem.

34² + 256² = 288²

66692 = 82944

The sides are not a Pythagorean triple, so GH is not tangent to the circle.

6 0
3 years ago
I Need help plz help me i Sony understand
nydimaria [60]
A. 2, 200, 2000  

This is multiplying the number by 10 each time. In other words, just adding an extra zero to the end of it. 

b. 340, 0.034 

This one is moving the decimal place forward two places. 10^-2, so removing two zeros from the end of it until eventually you reach decimals and have to move the decimal forward twice, which is essentially what you're doing here.

c. 85700, 857, 0.857

In this one, you remove one zero from the end. You move the decimal forward once when you reach the decimals. This would be 10^-1

d. 444000, 4440000, 44400000

In this one, you multiply each one by 10. Add on a zero to each one.

e. 0.095, 9500000, 950000000

You multiply this one by 10^2, so the number increases.
4 0
3 years ago
Im confused and i need help please help
denis23 [38]

Answer:

C

Step-by-step explanation:

8 0
2 years ago
Help please This is 8th grade made. I put 13 but Idk if it's correct
Rom4ik [11]
The answer is the square root of (12^2 + 5^2), which is 13. You're correct
5 0
3 years ago
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