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nignag [31]
3 years ago
12

A height of 12 and a volume of 1.356.48 what is the radius of the cylinder?

Mathematics
1 answer:
alexgriva [62]3 years ago
8 0

Answer:

11.99 ft

Step-by-step explanation:

The formula for the volume of a cyl. of radius r and height h is V = πr²h.

Solving this immediately for h yields:

        V

h = ----------

        πr²

Inserting the known quantities results in:

        V           1356.48 ft³

h = ---------- = ----------------------      Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft

        πr²         3.14159 (6 ft)²

  =   11.994 ft

The height of the cyl. is 11.99 ft (to the nearest hundredth foot)

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What is the value of p and q
Oksanka [162]

Answer:

p=122

q=90

Step-by-step explanation:

p=180-58=122

q=180-90=90

4 0
3 years ago
Find the value of below algebriac expression for x=2,y=-1 and z=2 i. 4x2−3y2+5z24x2−3y2+5z2 ii. 3x3−2x(4yz+5x2)3x3−2x(4yz+5x2) i
Advocard [28]

Answer:

i. 33

ii. 1488

iii. 65

Step-by-step explanation:

i. 4x² − 3y² + 5z²

Putting the values x=2, y=-1 and z=2

4(2)² − 3(-1)² + 5(2)²

4×4 − 3×(1)² + 5×(4)

(16) -  (3×1) + (20)

16 -  3+ 20

36 - 3

33

ii. 3x³ − 2x(4yz+5x²)

Putting the values x=2, y=-1 and z=2

[3(2)³ − 2×2(4×(-1)×2 + 5×(2)²)]

[3(8)³ − 2×2(-8 + 5×4)]

[3 ×512 -  2×2(-8 +20)]

[1536 - 4(12)]

[1536 - 48]

1488

iii. 1−4x(yz+3xy)

Putting the values x=2, y=-1 and z=2

[1 - 4 × 2((-1)×2 + 3×2×(-1))]

[1- 8(-2 + (-6))]

[1- 8 (-2 -6)]

[1 - 8(-8)]

[1 +64]

65

8 0
2 years ago
How many solutions does the following equation have 3(X + 9) = 2x + 54
kotykmax [81]

Answer:

One solution.

Step-by-step explanation:

3(x + 9) = 2x + 54

3x + 27 = 2x + 54

3x + 27 - 2x = 2x + 54 - 2x

x + 27 = 54

x + 27 - 27 = 54 - 27

x = 27

8 0
3 years ago
If B is the midpoint of line AC, AC = CD, AB = 3x+4, AC=11x-17, and CE = 49, find DE. (Show work)
larisa [96]

Answer:

2(3x+4) = 11x-17

6x+8 = 11x-17

25=-5x

x=-5

11x-17

55-17

38

AC = 38

CD = 38

49-38 = 11

DE = 11

Let me know if this helps!

3 0
2 years ago
What are the solutions to the equation?
nekit [7.7K]

The correct answer is -5 and 3

I took the test and this was the correct answer

Hope I helped :)

6 0
2 years ago
Read 2 more answers
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