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NISA [10]
3 years ago
6

What is the diameter of the cylinder if the height is 13, and the volume is 1256? Use 3.14 for pi.

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0
Volume of a cylinder = πr²h

1256 = (3.14) x (r)² x (13)

1256 = 40.82r²

r² = 1256 ÷ 40.82

r² = 30.769

r = √30.69

r = 5.547

Diameter = Radius x 2

Diameter = 5.547 x 2 

Diameter = 11.09 units (nearest hundredth)
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Step-by-step explanation:

4 0
3 years ago
its 76 degrees fahrenheit at the 6000-foot level of a mountain, and 49 degrees Fahrenheit at the 12000-foot level of the mountai
brilliants [131]

T = \frac{-9}{2}x + 103 is the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet.

<em><u>Solution:</u></em>

The linear equation in slope intercept form is given as:

T = cx + k ------ (i)

Where "t" is the temperature at an elevation x

And x is in thousands of feet

<em><u>Given that its 76 degrees fahrenheit at the 6000-foot level of a mountain</u></em>

Given, when c = 6 thousand ft and T = 76^{\circ} fahrenheit

This implies,

From (i)

76 = c(6) + k

76 = 6c + k

⇒ k = 76 - 6c  ----- (ii)

<em><u>Given that 49 degrees Fahrenheit at the 12000-foot level of the mountain</u></em>

Given, when c = 12 thousand ft and T = 49^{\circ} fahrenheit

This implies,

From (i)

49 = c(12) + k

49 = 12c + k

Substitute (ii) in above equation

49 = 12c + (76 - 6c)

49 = 12c + 76 - 6c

49 - 76 = 6c

6c = -27

c = \frac{-9}{2}

Substituting the value of c in (ii) we get

k = 76 - 6( \frac{-9}{2})\\\\k = 76 + 27 = 103

Substituting the value of c and k in (i)

T = \frac{-9}{2}x + 103

Where "x" is in thousands of feet

Thus the required linear equation is found

5 0
3 years ago
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Answer:

x=59 y= 81 z= 99

Step-by-step explanation:

z=

180-(57+24)=99

y=180-99=81

x= 40+81=121

180-121=59

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2 years ago
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Answer:

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Step-by-step explanation:

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there is 2 blue pens

so 2 out of 12

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Answer:

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