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Yuki888 [10]
3 years ago
5

The formula for the bowline of a sphere is V=4/3πr^3. solve for r

Mathematics
1 answer:
Tpy6a [65]3 years ago
5 0

Answer:

r=\sqrt[3]{\frac{3V}{4\pi}}

Step-by-step explanation:

v= \frac{4}{3} \pi r^3

We need to isolate 'r'

To isolate 'r' , first multiply by 3 on both sides

3v=4* \pi r^3

divide by 4pi on both sides

\frac{3V}{4\pi} = r^3

Take cube root on both sides

\sqrt[3]{\frac{3V}{4\pi}}= r

You might be interested in
Write an equation of the line, in standard form, containing the points (−6, 19) and (−15, 28).
Rudiy27

The equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13

<em><u>Recall:</u></em>

  • Equation of a line can be written in standard from as Ax + By = C, where Ax and By are all terms of variable x and y, and C is a constant.
  • The equation of a line in point-slope, y - y_1 = m(x - x_1), can be rewritten in the standard form.
  • Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

Given: (−6, 19) and (−15, 28)

<em>Find the </em><em>slope </em><em>(m):</em>

<em />m = \frac{28 - 19}{-15 -(-6)} = \frac{9}{-9} = -1

Write the equation in point-slope form by substituting m = -1 and (x_1, y_1) = (-6, 19) into y - y_1 = m(x - x_1).

y - 19 = -1(x - (-6))\\\\y - 19 = -1(x + 6)

  • Rewrite in standard form

y - 19 = -1(x + 6)\\\\y - 19 = -x - 6\\\\y = -x - 6 + 19\\\\y = -x + 13\\\\\mathbf{x + y = 13}

Therefore, the equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13

Learn more about equation of a line in standard form on:

brainly.com/question/19169731

7 0
2 years ago
If the lengths of two sides of a triangle are 6 and 8 the length of the third side may be
tangare [24]
Depends on the angle sir
6 0
3 years ago
Please help!! its due in 9 minutes
Grace [21]

Answer:

Times it by 40. That is the pattern.

3 0
3 years ago
Read 2 more answers
Please help me
morpeh [17]

Answer:

No, because the cone has a smaller volume than the ice cream

Step-by-step explanation:

V=4

3πr3=4

3·π·33≈113.09734

Volume of scoop: 113.1 cm^2

V=πr2h

3=π·2.52·10

3≈65.44985

Volume of cone: 65.45 cm^2

65.45 < 113.1

6 0
3 years ago
Ayudenmeee por favor
Dmitry [639]
B because I’m just guessing
8 0
3 years ago
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