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dem82 [27]
3 years ago
6

what is the volume of a rainwater collection tank that is shaped like a cylinder with a diameter of 10 cm when using 3.14 for

g src="https://tex.z-dn.net/?f=%20%5Cpi%20" id="TexFormula1" title=" \pi " alt=" \pi " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
3 0
The equation to find the volume of a cylinder is V=\pi×r²×h. To find r you just divide the diameter which is 10 by 2 so r is 5. Just plug everything in and solve, V=\pi×5²×243.84. You should get V≈19,151.15
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Find the general solution and find the specific solutions over the interval [0,4pi]
Natasha2012 [34]

Answer:

Isolate the angle 2x, by following the reverse "order of operations".

Step-by-step explanation:

Explanation:

Step 1: Add 1 to both sides:

2

cos

2

(

2

x

)

=

1

Step 2: Divide both sides by 2:

cos

2

(

2

x

)

=

1

2

Step 3: Take the square root of both sides:

cos

(

2

x

)

=

√

2

2

or

cos

(

2

x

)

=

−

√

2

2

(don't forget the positive and negative solutions!)

Step 4: Use inverse of cosine to find the angles:

2

x

=

cos

−

1

(

√

2

2

)

or

2

x

=

cos

−

1

(

−

√

2

2

)

Step 5: Find angles that work:

2

x

=

π

4

or

2

x

=

7

π

4

or

2

x

=

3

π

4

or

2

x

=

5

π

4

Step 6: Solve for x:

x

=

π

8

,

7

π

8

,

3

π

8

,

5

π

8

or .785, 5.5, 2.36, 3.93

(decimal approximations are seen on the graph below)

5 0
3 years ago
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MakcuM [25]
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3 0
3 years ago
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mezya [45]
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3 0
3 years ago
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