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3 years ago

What is the volume of a sphere with a diameter of 18 cm? Round your answer to the nearest hundredth.

Mathematics

2 answers:

andrezito [222]3 years ago

4 0

3053.6 because from the formula 4/3piercube

GaryK [48]3 years ago

4 0

Answer: 3053.6 cubic cm

Step-by-step explanation:

The volume of sphere is given by :-

$\text{Volume]=\dfrac{4}{3}\pi r^3$ , where r is the radius of the sphere.

Given: The diameter of sphere = $d=18\ cm$

Then , the radius of the sphere = $r=\dfrac{18}{2}=9\ cm$

Now, the volume of the sphere will be ;_

$\text{Volume}=\dfrac{4}{3}(3.14159265359) (9)^3\\\\\Rightarrow\text{Volume}=3053.62805929\approx3053.6\text{ cubic cm}$

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makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

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3 years ago

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Answer: $12.60 per hour

Step-by-step explanation:

5% of 12 is 0.60

12 + 0.60 = 12.60

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2 years ago

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I have a box that is 5 inches wide 2 inches deep and 4 inches tall I want to fill with sand. how much sand can I fit inside the

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Answer:

Step-by-step explanation:

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2 years ago

I need to know number 37 please help I keep getting it wrong

Thepotemich [5.8K]

I just worked it out and I got 6 3/28
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3 years ago

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Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two

Ludmilka [50]

Answer:

8 cm and 9 cm

Step-by-step explanation:

Hi there!

The sum of the lengths of two sides of a triangle must <em>always be greater</em> than the length of the third side.

5 cm and 8 cm ⇒ 5+8=13; not greater than 13

6 cm and 7 cm ⇒ 6+7=13; not greater than 13

7 cm and 2 cm ⇒ 7+2=9; not greater than 13

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Therefore, the last set of two sides is possible for the lengths of the the other two sides of this triangle.

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2 years ago

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