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aleksandrvk [35]
3 years ago
8

If the volume of a full sphere is 4/3 x pi x radius cubed, what is the volume of a half sphere, also called a hemisphere?

Mathematics
2 answers:
Varvara68 [4.7K]3 years ago
8 0

Answer:

Volume of Hemisphere =\frac{2}{3} \pi r^{3}

Step-by-step explanation:

Half of a full sphere is called a Hemisphere.

Volume of Hemisphere is half of that of  a sphere.

Volume of sphere =\frac{4}{3} \pi r^{3}

Volume of Hemisphere = \frac{4}{3}\pi r^{3}÷ 2

Or Volume of Hemisphere =\frac{2}{3} \pi r^{3}

Lady bird [3.3K]3 years ago
7 0
The formula for a hemisphere is: 2/3 π r

if there was a problem to solve, i would be happy to do it.
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Which equation has the solutions x = startfraction 5 plus-or-minus 2 startroot 7 endroot over 3 endfraction?
Shtirlitz [24]

The equation that has the solution x = \frac{5 \pm \sqrt{7}}{3} is 3x^2 - 10x + 6 = 0

<h3>How to determine the equation?</h3>

The solution is given as:

x = \frac{5 \pm \sqrt{7}}{3}

The solution to a quadratic equation is

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

By comparing both equations, we have:

-b = 5

b^2 - 4ac = 7

2a = 3

Solve for b in -b = 5

b = -5

Solve for a in 2a = 3

a = 1.5

Substitute values for a and b in b^2 - 4ac = 7

(-5)^2 - 4 * 1.5c = 7

Evaluate

25 - 6c = 7

Subtract 25 from both sides

-6c = -18

Divide by - 6

c = 3

So, we have:

a = 1.5

b =  -5

c = 3

A quadratic equation is represented as:

ax^2 + bx + c = 0

So, we have:

1.5x^2 - 5x +3 = 0

Multiply through by 2

3x^2 - 10x + 6 = 0

Hence, the equation that has the solution x = \frac{5 \pm \sqrt{7}}{3} is 3x^2 - 10x + 6 = 0

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2 years ago
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3 years ago
joseph and patrick purchase school supplies in the book store. Joseph purchases four notebooks and three pens for $10.65. Patric
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3 years ago
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timofeeve [1]

Answer:

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= 1/4 - (2/5 + (4/12 + 6/12 - 3/12) - 2/15)

= 1/4 - (2/5 + (7/12) - 2/15)

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= 1/4 - (51/60)

= 15/60 - 51/60

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3 years ago
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