Question

The radius of the large sphere is times longer than the

Answer 1

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