### Home > CALC > Chapter 8 > Lesson 8.3.3 > Problem8-125

8-125.

Before you setup an integral, sketch the graph and shade the region. You should be able to sketch f(x) without a graphing calculator, as it is simply of horizontal shift of

Solve for c.

Use disks.

Refer to the hint in part (b) and follow a similar process using a generic volume formula instead of a generic area formula.

$\text{Solve:}\int_4^d \pi(\sqrt{x-4})^2dx=\int_d^8\pi(\sqrt{x-4})^2dx$

$\frac{d^2}{2}-4d+8=-\frac{d^2}{2}+4d$