Find the volume of a right circular cone that has a height of 9m and a base with a circumference of 19.6m . Round your answer to the nearest tenth of a cubic foot .

Answers

Answer 1

Answer:

x = 3.0 cubic foot.

Explanation:

Given the following data;

Height = 9m

Circumference of base = 19.6m

To find the volume of right circular cone;

First of all, we would determine the radius of the circular base.

Circumference of circle = 2πr

19.6 = 2*3.142*r

19.6 = 6.284r

Radius, r = 19.6/6.284

Radius, r = 3.12 m

Mathematically, the volume of a right circular cone is given by the formula;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

V is the volume of the cone.

r is the radius of the base of the cone.

h is the height of the cone.

Substituting into the formula, we have;

[tex] V = \frac{1}{3} * 3.142 * 3.12^{2} * 9 [/tex]

[tex] V = 3.142 * 3.12^{2} * 3 [/tex]

[tex] V = 9.426 * 9.7344 [/tex]

V = 91.7565

Converting to foot;

1 foot = 30.48 cm

x foot = 91.7565 cm

Cross-multiplying, we have;

91.7565 = 30.48x

x = 91.7565/30.48

x = 3.0104

x = 3.0 (to the nearest cubic foot).

Answer 2

Answer:

x = 3.0 cubic foot.

Explanation:

Given the following data;

Height = 9m

Circumference of base = 19.6m

To find the volume of right circular cone;

First of all, we would determine the radius of the circular base.

Circumference of circle = 2πr

19.6 = 2*3.142*r

19.6 = 6.284r

Radius, r = 19.6/6.284

Radius, r = 3.12 m

Mathematically, the volume of a right circular cone is given by the formula;

V = 1/3pir^2h

Where;

V is the volume of the cone.

r is the radius of the base of the cone.

h is the height of the cone.

Converting to foot;

1 foot = 30.48 cm

x foot = 91.7565 cm

Cross-multiplying, we have;

91.7565 = 30.48x

x = 91.7565/30.48

x = 3.0104

x = 3.0 (to the nearest cubic foot).

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Answer:

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Explanation:

Hope this helps! have a great day :)

Some areas are arid because they are usually very hot and dry.

What is an arid region?

An arid area is a place where water is not available.

The unavailability of water has hindered many lives including plants and animal from surviving in such area.

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Therefore, Some areas are arid because they are usually very hot and dry.

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Answers

Answer:

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????????????????????

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Answers

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The term "unification" refers to the merging of two states into one, but not to the creation of regional political or economic blocs.


Please select the best answer from the choices provided.

T
F

Answers

Answer:

False

Explanation:

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False

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Answers

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Answers

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Answers

Explanation:

Monsoon

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Atmospheric pressure

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(Extra Info) P_h= P_0 e

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Upwind

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Downwind

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Answers

Answer:

B. Rays of sunlight hit less directly. The days are shorter and temperature colder.

Explanation:

When the north pole tilts away from the sun, the sun's rays are displaced below the equator line, that is, towards the southern hemisphere. It causes the northern hemisphere to receive fewer solar rays and to receive them indirectly, which leaves the atmosphere cooler and decreases the length of the day. This moment coincides with winter and autumn in the northern hemisphere. This inclination of the north pole lasts six months and after that period the moment of inclination of the south pole begins, which causes the sun's rays to be displaced towards the northern hemisphere.

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Michelle's camping tent is in the shape of a triangular prism She wants to reinforce the fabric of her tent with a waterproofing treatment Find the total surface area, including the floor of Michelle's tent shown below. Round your answer to the nearest square foot.​

Answers

Answer:

208

Explanation:

The total surface area of a triangular prism can be calculated from its bases, and height. From the image of the tent, its surface area is calculated to be 52.8  m²which is equal to 568 square foot.

What is the surface area of a triangular prism ?

The triangular prism is a kind of geometry contains two triangular faces and two rectangular bases. The area of the triangular base is calculated as follows:

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Where b be the base of the triangle and L be the length of the prism. The s1, s2 and s3 be the three sides of the triangle.

From the tent image.

base of the triangle = 3 m

Hight h = 2.6 m

s1 = s2 = 3 m

s3 = base = 3 m

length of the prism L = 5 m

Then,

the surface area of the tent with the shape of triangular prism is:

S = 3 m×2.6 m +  (3 +3 + 3 m)5 m =  52.8 m²

1 m² = 10.76 sq feet

then 52.8 m² = 568 square foot

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Answers

Answer:

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