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bazaltina [42]
3 years ago
11

What is volume with diameter of 9

Mathematics
2 answers:
Zigmanuir [339]3 years ago
6 0

Answer:

972π m^3

Step-by-step explanation:

The formula for calculating volume of a sphere is : 4/3×π×r^3 (r: radius)

4/3 × π × 9^3 = 972π m^3

Andrej [43]3 years ago
6 0

Answer: 972π m³

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.

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

Here, notice that our sphere has a radius of 9 meters.

So plugging into the formula, we have (\frac{4}{3})(\pi)(9 m)^{3}.

Start by simplifying the exponent.

(9m)³ is equal to 9 meters x 9 meters x 9 meters or 729 m³.

So we have (\frac{4}{3})(729m^{3})(\pi).

Notice that we can cross cancel 3 in 4/3 and 729 to 1 and 243.

So we have (4)(243 m^{3}) which is equal to 972 m³.

So we have 972π m³.

So the volume of the sphere shown here is 972π m³.

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<h3>The piecewise function</h3>

On the graph, we have:

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Hence, the piecewise function is:

f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right

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This is the set of input values

In (a), we have:

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Hence, the domain is (∞, 3] u (2, ∞)

<h3>The range of the function</h3>

This is the set of output values

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Read more about piecewise function at:

brainly.com/question/18859540

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