Answer :

Volume of a cone: volume of frustum = 1:7

**Given:** The figure is shown below

**Explanation:**

Radius of cone, r = 10cm

From the figure, we can see that the cone is divided into two equal parts by the axis. So,

In

∠PAC = ∠QAD (common)

∠AQD = ∠APC = 90°

So, ∆AQD~∆APC ( by AA-similarity)

So, radius,

Now, the volume of frustum =

Comparing the volume of the frustum and the cone

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