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Chapter 5: Q. 72 (page 258)

The volume Vof a right circular cone is V=13蟺谤2h.If the height is twice the radius, express the volume V as a function of r.

Short Answer

Expert verified

The Volume, V(r)=23蟺谤3.

Step by step solution

01

Step 1. Given Information

Given thatV=13蟺谤2handh(r)=2r.

02

Step 2. Solution

We have to find Vas a function of r.

Here, V=13蟺谤2h,h(r)=2r.

Now,

V鈭�h(r)=V(h(r))V鈭�h(r)=13蟺谤2{h(r)}V鈭�h(r)=13蟺谤2{2r}V鈭�h(r)=23蟺谤3V(r)=23蟺谤3

03

Step 3. Final answer

Hence,V(r)=23蟺谤3.

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