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balu736 [363]
3 years ago
13

99 litres of gasoline oil is poured into a cylindrical drum of 60cm in diameter. How deep is the oil in the drum? ​

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0

Answer:

  35 cm

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr²h

We want to find h for the given volume and diameter. First, we must convert the given values to compatible units.

  1 L = 1000 cm³, so 99 L = 99,000 cm³

  60 cm diameter = 2 × 30 cm radius

So, we have ...

  99,000 cm³ = π(30 cm)²h

  99,000/(900π) cm = h ≈ 35.01 cm

The oil is 35 cm deep in the drum.

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answer : 0.02

$250 ÷ 5 = 0.02

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3 years ago
Determine the surface area of this cone if the radius is 4 cm and the height is 12 cm . Round your answer to the nearest tenth .
maria [59]
Base Surface Area = π×42
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Or in square centimeters:

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8 0
3 years ago
Three six-sided fair dice are rolled. The six sides of each die are numbered 1; 2; : : : ; 6. Let A be the event that the first
valkas [14]

Answer:

1.) [A, B, C]

2.) [A', B', C']

3.) [A', B, C] or [A, B', C] or [A, B, C'] or [ A', B', C] or [A', B, C'] or [A, B', C'] or [A', B', C']

4.) A', B', C] or [A', B, C'] or [A, B', C'] or [A', B, C] or [A, B', C] or [A, B, C'] or [A, B, C]

Step-by-step explanation:

If A is the event that the first die shows an even number, then A' is the event that first die DOES NOT show an even number.

If B is the event that the Second die shows and even number, then B' is the event that second die DOES NOT show an even number.

If C is the event that the third die shows an even number, then C' is the event that third die DOES NOT show an even number.

Hence, our possible events are A, A', B, B', C, C'.

For question 1, in the event that all three dice show and even number, the expression of the event = [A, B, C]

For question two, in the event that no die shows an even number, the expression of the event = [A', B', C']

For question 3,In the event that at least one die shows an odd number, the expression of the event = [A', B, C] or [A, B', C] or [A, B, C'] or [ A', B', C] or [A', B, C'] or [A, B', C'] or [A', B', C']

For question 4,in the event that at most two dice show odd numbers, the expression of the event = [A', B', C] or [A', B, C'] or [A, B', C'] or [A', B, C] or [A, B', C] or [A, B, C'] or [A, B, C]

6 0
3 years ago
chegg evaluate the following integral using trigonometric substitution. dx/square root(x^2-81), x > 9
vesna_86 [32]

Integration will be ln | ( x /9 ) + ( \sqrt{(x/9)^{2} - 1 } ) | + c  .

Given  ∫ 1 dx / ( x^{2} - 81 )

Put ,

x = 9 secθ

dx = 9 secθ tanθ dθ

and

\sqrt{x^{2}  - 9^{2} } = 9 tanθ

Substituting values in  ∫ 1 dx / ( x^{2} - 81 ) ,

∫ (9 secθ tanθ ) dθ / ( 9 tanθ )

∫ secθ dθ = ln | secθ + tanθ | + c

                = ln | ( x /9 ) + ( \sqrt{x^{2}  - 9^{2} } / 9 ) | + c

              = ln | ( x /9 ) + ( \sqrt{(x/9)^{2} - 1 } ) | + c

Hence , the integration will be ln | ( x /9 ) + ( \sqrt{(x/9)^{2} - 1 } ) | + c .

To learn more on integration follow link :

brainly.com/question/20156869

#SPJ4

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