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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Hope this helps! have a great day :)

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T
F

Answers

Answer:

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plz mark as brainliest

Explanation:

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:

surface area = bh + (s1 + s2+ s3)L

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

Therefore, the total surface area of the tent is 568 square foot.

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Answer:

Explanation:

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Explanation:

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Answers

Answer:

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Explanation:

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Answers

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Explanation:

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Answer:

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Explanation:

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Answer:

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Answer:

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