The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter.

Answers

Answer 1

Given:

Kiosk is the combination of a cylinder and a cone.

Diameter of cylinder and cone = 5 m

Height of the cylinder = 3 m

Height of the cone = 2 m

To find:

The volume of the kiosk.

Solution:

We know that the radius is half of the diameter. So,

Radius of cylinder and cone = [tex]\dfrac{5}{2}[/tex] m

                                               = [tex]2.5[/tex] m

Volume of the cylinder is:

[tex]V_1=\pi r^2h[/tex]

Where, r is the radius and h is the height of the cylinder.

Putting [tex]\pi =3.14, r=2.5, h=3[/tex] in the above formula, we get

[tex]V_1=(3.14)(2.5)^2(3)[/tex]

[tex]V_1=(3.14)(6.25)(3)[/tex]

[tex]V_1=58.875[/tex]

Volume of a cone is:

[tex]V_2=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius and h is the height of the cone.

Putting [tex]\pi =3.14, r=2.5, h=2[/tex] in the above formula, we get

[tex]V_2=\dfrac{1}{3}(3.14)(2.5)^2(2)[/tex]

[tex]V_2=\dfrac{1}{3}(3.14)(6.25)(2)[/tex]

[tex]V_2\approx 13.083[/tex]

The volume of the kiosk is the sum of volume of cylinder and the volume of cone.

[tex]V=V_1+V_2[/tex]

[tex]V=58.875+13.083[/tex]

[tex]V=71.958[/tex]

[tex]V\approx 72[/tex]

Therefore, the volume of the kiosk is 72 cubic meter.


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Answer:

y =< 6x + 3

you copypasta looks weird, but I would go for option c if i read this correctly

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Answers

Answer:

41.4º

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Step-by-step explanation:

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Step-by-step explanation:

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Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root.

Answers

Answer:

[tex]y = \sqrt{ 900 - x\²[/tex]

Step-by-step explanation:

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Lake Pyramid, Nevada is one of the best places in the connected 48 states to
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Find the probability that it takes the fisher no more than 4 trips to catch a
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Answers

If an event occurs 0 times (out of 4, in this case) then it does not occur at least once. So we can find the probability of it not occurring and then subtract that value from 1.

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Answers

Answer:

Yes

Step-by-step explanation:

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Answer:

Yes

Step-by-step explanation:

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Answers

Answer:

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Answer:

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Answers

Answer:

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Answer:

No

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Answers

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Pictures are attached.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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A) y=3x+1

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Answers

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Answers

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__

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__

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__

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