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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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Recall the sum identity for cosine:

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Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,

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cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221

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2 years ago
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2 years ago
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3 years ago
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20000 into saving account 6% compound interest for 10 years
zimovet [89]

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