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lisabon 2012 [21]
3 years ago
12

A cylindrical pail that has the base area of 9 pi inches squared and a height of 10 inches. One friend bought a pyramid mold wit

h a square base with edge length of 4 inches and height of 7 inches. The other friend bought a cone with a radius of 2.5 inches and the height of six inches. What is the volume of these three objects?
Mathematics
1 answer:
FromTheMoon [43]3 years ago
3 0

Answer:

  • cylinder — 90π in³
  • pyramid — 37 1/3 in³
  • cone — 12.5π in³

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = Bh . . . . . where B is the base area and h is the height

The volume of a pyramid or cone is given by ...

  V = (1/3)Bh . . . . . where B is the base area and h is the height

The area of a square of side length s is ...

  A = s²

The area of a circle of radius r is ...

  A = πr²

___

Using these formulas, the volumes of these objects are ...

  cylinder: (9π in²)(10 in) = 90π in³

  square pyramid: (1/3)(4 in)²(7 in) = 37 1/3 in³

  cone: (1/3)(π(2.5 in)²)(6 in) = 12.5π in³ . . . . slightly larger than the pyramid

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butalik [34]

Answer:

40 hours

Step-by-step explanation:

Lets take "x" as the # of hours it takes the lava to reach the sea

since there is a lava flow of 0.5 kilos per hour

we will multiply "x" with 0.5

0.5x

now the tube system is 20 kilometers long

this means that at a rate of 0.5 kilos per hour the lava will reach the sea once it is 20 kilometers deep

so

0.5x=20

divide "0.5" by both sides to eliminate the coefficient

\frac{0.5x}{0.5} =\frac{20}{0.5}

x=40

it will take 40 hours for the lava to reach the sea

Hope this helps!

3 0
3 years ago
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The table have the following results:

 

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Diamonds – 4

Clubs – 8

Spades – 5

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The question is asking for the probability of not selecting a heart.

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So = 4 + 8 + 5 = 17

And we have a total of 24 cards

<span>Therefore the probability is 17/24. </span>

7 0
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How do you solve this problem and what is the equation 3x(8-3) (6 4)/2?
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To solve the problem, do the problem in the parenthesis () then do your answer with the numbers outside the ().

(8-3) = 5 x 3 = 15

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Um... part of the (6 4) doesn't make sense... What goes between the numbers? Plus, minus, multiply or division sign? Please tell.

But, I already got you started off and I'll let you figure out the rest. (If you can not figure out the rest, please tell me what sign is between the 6 and 4 in (6 4) and then I'll give you the answer and a better explanation.)

I hope this helps! :D
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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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