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2 years ago

A hemispherical tank is filled with water and has a diameter of 22 feet. If water

Mathematics

2 answers:

Gekata [30.6K]2 years ago

8 0

Answer:

130742.35 lbs

Step-by-step explanation:

taurus [48]2 years ago

3 0

Given :-

Diameter of tank = 20 feet

Radius of tank, r = 20/2 = 10 feet

To Find :-

Volume of the hemisphere

Formula to be used :-

Volume of the hemisphere = 2/3 × π × r³

Solution :-

Putting the values, we get

Volume of the hemisphere = 2/3 × π × r³

⇒ Volume of the hemisphere = 2/3 × 22/7 × 10 × 10 × 10

⇒ Volume of the hemisphere = 44000/21

⇒ Volume of the hemisphere = 2095. 23 feet³

Now, Total weight of the water

⇒ Total weight of the water = 62.4 × 2095.23

⇒ Total weight of the water = 130742.35 pounds

Hence, the Total weight of the water is 130742.35 pounds

Step-by-step explanation:

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3 years ago

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A number is selected, at random, from the set {1,2,3,4,5,6,7,8}.

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Applying the formula, you have:

A = the number is prime

B = the number is odd

I assume that with "random" you imply that all numbers can be chosen with the same probability. So, we have

$P(A) = \dfrac{4}{8} = \dfrac{1}{2}$

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Similarly, we have

$P(B) = \dfrac{4}{8} = \dfrac{1}{2}$

because 4 out of 8 numbers are odd: 1, 3, 5 and 7.

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$P(A \land B) = \dfrac{3}{8}$

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So, applying the formula, we have

$P(\text{prime } | \text{ odd}) = \dfrac{P(\text{prime and odd})}{P(\text{odd})} = \dfrac{\frac{3}{8}}{\frac{1}{2}} = \dfrac{3}{8}\cdot 2 = \dfrac{3}{4}$

Note:

I think that it is important to have a clear understanding of what's happening from a conceptual point of you: conditional probability simply changes the space you're working with: you are not asking "what is the probability that a random number, taken from 1 to 8, is prime?"

Rather, you are adding a bit of information, because you are asking "what is the probability that a random number, taken from 1 to 8, is prime, knowing that it's odd?"

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3 years ago

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The function family that each belongs to are :

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c. quadratic = f(x)=x^2

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A linear function should have either one or more variables without exponential form

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1 year ago

aren wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 51

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Answer:

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Step-by-step explanation:

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df = 51 - 1 = 50

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Answer:

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