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gogolik [260]
3 years ago
5

What is the volume of a cylinder with a diameter of 12 in. and a height of 7 in.?

Mathematics
1 answer:
Stels [109]3 years ago
3 0

Answer

Find out the  volume of a cylinder .

To prove

Formula

Volume\ of\ cylinder = \pi r^{2}h

Where r is the radius and h is the height.

As given

Diameter of 12 in. and a height of 7 in.

Radius = \frac{Diameter}{2}

Radius = \frac{12}{2}

Radius = 6 in

\pi = 3.14

put all the values in the formula

Volume\ of\ cylinder = 3.14\times 6\times 6\times 7

                                          = 791.28 in³

Therefore the volume of the cylinder is 791 .28 in³ .

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Answer:

1) either 5 or 6 students in the group

2) 6 rooms are booked

Step-by-step explanation:

1) x students  

3x + 8 = apples

5 (x-1) + y (the one get less than 5 apples)

3x + 8 = 5 (x - 1) + y

3x + 8 = 5x - 5 + y

2x + y = 13

X       1       2      3      4      5      6

Y       11      9      7      5      3       1

because y < 5 so x = 5 or x = 6

2) x rooms are booked

4x + 20   total students

8 (x-1) + y (the students in room not full))

4x + 20 = 8 (x-1) + y

4x + 20 = 8x - 8 + y

4x + y = 28

X       1       2      3      4      5      6

Y       24    20    16    12     8      4

y < 8 answer is 6 rooms

4 0
3 years ago
Solve exponential equation<br> 1/16=64^4x-3
RoseWind [281]
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Steps:

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4 0
2 years ago
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Answer:

16 rides

Step-by-step explanation:

Option 1 . Admission fee = $10

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Option 2 . Admission fee = $6

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Let no. of rides be x

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So, total cost after having x rides according to option 1 :

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Now to find the beak even point i.e. having the same cost

Equate 1 and 2

10+0.50x=6+ 0.75x

10-6= 0.75x-0.50x

4= 0.25x

\frac{4}{0.25} =x

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Thus for 16 rides , the two options have the same cost .

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