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Chapter 5: Q. 71 (page 258)

The volume Vof a right circular cylinder of height hand radius ris V=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)=2蟺谤3.

Step by step solution

01

Step 1. Given Information

Given thatV=蟺谤2handh(r)=2r.

02

Step 2. Solution

We have to find Vas a function of r.

Here, V=蟺谤2h;h(r)=2r.

Now,

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

03

Step 3. Final Answer

Hence,V(r)=2蟺谤3.

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