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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Answers

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Buddhism is a faith that was founded by Siddhartha Gautama (“the Buddha”) more than 2,500 years ago in India. With about 470 million followers, scholars consider Buddhism one of the major world religions.

Answer:

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Explanation:

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Answers

Answer:

Explanation:

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Answers

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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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Then,

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Hope this helps! have a great day :)

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Answers

Explanation:

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T
F

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plz mark as brainliest

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