A wooden toy rocket is a cylinder of radius 6 cm and height 20 cm with a cone of the same radius and slant height 10 cm fixed on top. What is the total outside area of the toy, including the flat circle it stands on, in square cm? (Use π = 3.14.)

Three surfaces show: the cylinder's curved side 2πrh = $2\times 3.14\times 6\times 20=753.6$, the cone's curved side πrl = $3.14\times 6\times$ 10 = 188.4, and the circular base π$r^2=3.14\times 36=113.04$. Total = 1055.04 sq cm. The trap 942 forgets the base the rocket stands on; 1168.08 adds a second circle for the join where the cone sits on the cylinder, but that disc is buried inside the toy; 1017.36 uses the cone's VERTICAL height √$(10^2-6^2)=8$ cm in πrl instead of its slant height of 10 cm.