# Surface Area of Revolution Worksheet

Surface Area of Revolution Worksheet
• Page 1
1.
Find the area of the surface obtained by rotating the curve $y$ = 2$x$ + 1, 1 ≤ $x$ ≤ 2 about $x$-axis.
 a. 16$\sqrt{3}\pi$ b. 4$\sqrt{5}\pi$ c. 16$\sqrt{5}\pi$ d. 8$\sqrt{5}\pi$

2.
Find the area of the surface obtained by rotating the curve $y$ = 2, 0 ≤ $x$ ≤ 1, about $y$-axis.
 a. 2$\pi$ b. $\frac{\pi }{2}$ c. 4$\pi$ d. $\frac{\pi }{4}$

Find the area of the sphere of radius $r$, obtained by rotating a semi circle about the $x$-axis.
 a. 2$\pi$$r$ b. 4$\pi$$r$ c. 4$\pi$$r$2 d. 2$\pi$$r$2