Concept is wrong. (Question: 107954.0 )

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Arthur Yardley

· started a discussion

· 1 Months ago

Concept is wrong. (Question: 107954.0 )

You have asked to find the radius. But no length measurements of the cone has been given anywhere.
You can arrive at the given solution because the ratio between a volume and area is given in the question. In fact, it is wrong to get ratio between two different units.

Question:

A right angled circular cone has the half vertex angle as 30°. What will be the radius of the cone if the ratio of the volume to the slant surface area is 1 : 3?

Options:

A) \(\cfrac{2}{\sqrt[]{3}}\)

B) \(\cfrac{\sqrt[]{3}}{2}\)

C) \(\cfrac{1}{\sqrt[]{3}}\)

D) \(\cfrac{3}{2}\)

Solution:

Ans: (a)

Let the height be h and radius be r.

In \(\triangle\)OAB,

tan30⁰ = \(\cfrac{r}{h}\Rightarrow h=\sqrt[]{3}r\)

Required ratio as given

Vivek

· commented

· 1 Months ago

Take r,h,l as variables. Convert all variables in one variable. Get the answer.

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