Question

The radius of the large sphere is times longer than the

radius of the small sphere.
How many times the volume of the large sphere is the
volume of the small sphere?
O
27
O
1
18
18.6 in
62 in
0 1 / 3
​

Answer 1

A. 1/27

Step-by-step explanation:

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Answer 2

`(1)/(27)`

Step-by-step explanation:

Consider the small sphere radius is x1.

therefore the large sphere radius is 3x1

As we know that volume of sphere=
`(4)/(3) \pi \ r^(3)`

So ,

Volume of the small sphere

=
`(4)/(3)\pi \ x1^(3)`

also Volume of the large sphere

=
`(4)/(3)\pi \ 3x1^(3)`

`(volume\ of\ small\ sphere)/(volume\ of\ large\ sphere) \ =\ ((4)/(3)\ \pi\ x1^(3) )/((4)/(3)\ \pi\ 3x1^(3) )`

On solving the equation

volume of large sphere=27 * volume of small sphere

Hence
`(1)/(27) \ times\ volume\ of\ small\ sphere\ is\ smaller\ then\ the\ larger\ sphere`