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polet [3.4K]
4 years ago
6

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]4 years ago
4 0

3053.6 because from the formula 4/3piercube

GaryK [48]4 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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Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra
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Answer:

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Step-by-step explanation:

From similar triangles, see diagram in attachment

\frac{r}{4}=\frac{h}{16}


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r=\frac{h}{4}


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We now differentiate both sides with respect to t to get,

\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}


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