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anzhelika [568]
3 years ago
11

Find the volume of the solid by rotating the region bounded by y=x^3, y=8, and x=0 about the y axis.

Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0

Answer:

Solution : Volume = 96/5π

Step-by-step explanation:

If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:

A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)

And now since the solid lies between y = 0, and y = 8, it's volume should be:

V =  ∫⁸₀  A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])

=> π ∫⁸₀ y^(2/3)dy

=> π[3/5 * y^(5/3)]⁸₀

=> 3/5π(³√8)⁵

=> 3/5π2^5

=> 96/5π ✓

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Answer:

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Step-by-step explanation:

if your asking x-10=?

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3 years ago
Kia rides her bicycle at 20 miles per hour. Which equation represents the situation?
sergejj [24]

Answer:

(A)d=20h

Step-by-step explanation:

If Kia rides her bike at 20 miles per hour.

20 miles per hour is referred to as the Kia's Speed.

Now we know that:

$Speed=\frac{Distance \:Travelled}{Time \:taken}

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Substituting these three into the formula above, we have:

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7 0
3 years ago
What is 9k-2&lt;3k+10 these type of problems are confusing
Ilia_Sergeevich [38]
Solve it like a normal equation, but with < instead of =

9k - 2 < 3k + 10
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6k < 12
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3 0
3 years ago
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The sum of a number, n, and 6.05 is 12.4. What is n?
Irina18 [472]

Answer:

2.04

Step-by-step explanation:

Equation: 6.05n=12.4=

7 0
3 years ago
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Can someone please help me
Kaylis [27]

9514 1404 393

Answer:

  1. 125 in²
  2. 676 km²
  3. 20 square units

Step-by-step explanation:

The Pythagorean theorem tells you the square on the hypotenuse is equal to the sum of the squares on the other two sides. (This is the version you use for problem 2.)

This also means the square on one side is the difference between the square on the hypotenuse and the square on the other side. (Use this version for problems 1 and 3.)

1. ? = 200 in² -75 in² = 125 in²

2. ? = 576 km² + 100 km² = 676 km²

3. ? = 36 square units - 16 square units = 20 square units

4 0
3 years ago
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