Answer:
[tex]A=90.6cm^2[/tex]
Step-by-step explanation:
Calculate the slant height using pythagorean theorem:
[tex]6^2+4^2=l^2\\36+16=l^2\\l^2=52\\l=\sqrt{52} \\l=7.2111[/tex]
Use the slant height to calculate the lateral area:
[tex]A=\pi rl[/tex]
[tex]A=(3.14)(4cm)(7.2111cm)\\A=90.57.cm^2[/tex]
