#### To determine

**To find:**

The volume of the solid under the given conditions.

**Solution:** π24.

#### Explanation

**Given:**

y=1(1+x4)

**Formulae used:**

The V=2π∫abxydx

Consider y=1(1+x4)

Hence, use the formulae of V=2π∫abxydx

Now according to the given expression, the value of the volume by integration from x=0 to x=1

Let t=x2dt=2xdxxdx=12dt

Thus, the new limit becomes the same as the above given.

V=2π∫01x1+x4dx=π∫0111+t2dt=π[tan−1t]01=π24

**Conclusion:** The value of the volume of y=1(1+x4) is π24.