http://www.ck12.org Chapter 5. Applications of Definite Integrals
In problems #4–6 find the area of the surface generated by revolving the curve about they−axis.
4.x= 7 y+ 2 , 0 ≤y≤ 3
5.x=y^3 , 0 ≤y≤ 8
6.x=√
9 −y^2 ,− 2 ≤y≤ 2- Show that the surface area of a sphere of radiusris 4πr^2.
- Show that the lateral areaSof a right circular cone of heighthand base radiusris
S=πr√
r^2 +h^2.