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nekit [7.7K]
3 years ago
13

What is the volume of a spherical shell with inner radius 7 and outer radius 8?

Mathematics
1 answer:
yuradex [85]3 years ago
6 0

Answer:

707.9 cm³

Step-by-step explanation:

What is the volume of a spherical shell with inner radius 7 and outer radius 8?

The formula for the volume of a sphere is given as;

= 4/3 × π × r³

From the above question:

inner radius 7 and outer radius 8

Hence, the volume of a sphere with

inner radius 7 and outer radius 8 is calculated as:

V = (4/3 × π × 8³ ) - (4/3 × π × 7³)

V = 4/3 × π ×(8³- 7³)

V = 4/3 × π × (512 - 343)

V = 4/3 × π × 169

V = 707.9055446 cm³

V = 707.9 cm³

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Hey there!

The answer would be B. y = 1.25x

If each pound is $1.25 and you get 4 pounds then that would equal to $5.00 or y.


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3 years ago
2.) What value for c will make the expression a perfect square trinomial?
andre [41]

Answer : \frac{49}{4}

Given expression is x^2 - 7x + c

To make perfect square trinominal we use completing the square method

In completing the square method we add and subtract the half of square of coefficient of middle term

Here coefficient of middle term is -7

Half of -7 is \frac{-7}{2}

Square of \frac{-7}{2} is (\frac{-7}{2})^2 = \frac{49}{4}

So the expression becomes x^2 - 7x +  [tex] \frac{49}{4} that gives perfect square trinomial

Hence , the value of 'c' is \frac{49}{4}


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3 years ago
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How many unique triangles can be drawn with side lengths 8 in., 12 in., and 24 in.? Explain
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By using the triangular inequality, we will see that no triangles can be made with these side lengths.

<h3>How many triangles can be made with these side lengths?</h3>

Remember that for any triangle with side lengths A, B, and C, the triangular inequality must be true.

This means that the sum of any two sides must be larger than the other side.

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For the given side lengths, we will have:

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8in + 24 in > 12 in

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Now, notice that the first inequality is false. So the triangular inequality is not meet. Then we can't make a triangle with these side lengths.

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If you want to learn more about triangles:

brainly.com/question/2217700

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