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marysya [2.9K]
2 years ago
5

What is the volume of a right circular cone that has a height of 11.7meters and a base with a circumference of 9 meters? Round t

he answer to the nearest tenth of a cubic meter
Mathematics
1 answer:
nekit [7.7K]2 years ago
7 0

Answer:

  25.1 cubic meters

Step-by-step explanation:

The volume is given by ...

  V = (1/3)Bh

where B is the area of the base.

  B = πr² = π(C/(2π))² = C²/(4π)

Then the volume is ...

  V = (1/3)(C²/(4π))h = C²h/(12π)

  V = (9 m)²(11.7 m)/(12·3.14159) ≈ 25.1 m³

The volume of the cone is about 25.1 cubic meters.

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Chandra created a budget matrix based on her regular and expected expenses for the year. Expense Jan. Feb. Mar. Apr. May June Ju
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Answer:

Chandra's Average Monthly Expenses are;

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Step-by-step explanation:

From Chandra's matrix all monthly expenses are all same that is,

Cell phone $71, Rent $1,025, Gym $75, Internet $25, Auto insurance $425, Gas $ 120, Food $145. which are all the expenses carried out every month for 12 months.

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January = $71 + $1,025 + $75 + $25 + $425 + $120 + $145 = $1886

February = $71 + $1,025 + $75 + $25 + $425 + $120 + $145 = $1886

March = $71 + $1,025 + $75 + $25  + $120 + $145 = $1461

April = $71 + $1,025 + $75 + $25  + $120 + $145 = $1461

May = $71 + $1,025 + $75 + $25  + $120 + $145 = $1461

June = $71 + $1,025 + $75 + $25  + $120 + $145 = $1461

July= $71 + $1,025 + $75 + $25  + $120 + $145 = $1461

August = $71 + $1,025 + $75 + $25  + $120 + $145 = $1461

September = $71 + $1,025 + $75 + $25  + $120 + $145 = $1461

October = $71 + $1,025 + $75 + $25  + $120 + $145 = $1461

November = $71 + $1,025 + $75 + $25  + $120 + $145 = $1461

December = $71 + $1,025 + $75 + $25  + $120 + $145 = $1461

Therefore Chandra's Average Monthly Expenses are:

1) January & February  = \frac{71 + 1,025 + 75 + 25 + 425 + 120 + 145}{7} = \frac{1886}{7} = 269.4286 to the nearest cent

≅ $269

2) For the remaining 10 month are = \frac{71 + 1,025 + 75 + 25  + 120 + 145}{6} = \frac{1461}{6}= 243.5 to the nearest cent

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