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denis23 [38]
4 years ago
6

The radius of the large sphere is times longer than the

Biology
1 answer:
Natalka [10]4 years ago
7 0

Answer:

\frac{1}{27}

Explanation:

Consider the  small sphere radius is  x1.

therefore the large sphere radius is 3x1

As we know that volume of sphere=\frac{4}{3} \pi \ r^{3}

So ,

Volume of the small sphere

=\frac{4}{3}\pi \ x1^{3}

also Volume of the large sphere

= \frac{4}{3}\pi \ 3x1^{3}

\frac{volume\ of\ small\ sphere}{volume\ of\ large\ sphere} \ =\ \frac{\frac{4}{3}\ \pi\ x1^{3}   }{\frac{4}{3}\ \pi\ 3x1^{3}   }

On solving the equation

volume of large sphere=27 * volume of small sphere

Hence \frac{1}{27} \ times\  volume\  of\  small\  sphere\  is\  smaller\  then\  the\  larger\  sphere

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