Question 309678
radius (r) = 8 in
height (h) = 15 in


slant height (s)
= {{{sqrt(r^2+h^2)}}}
= {{{sqrt(8^2+15^2)}}}
= {{{sqrt(64+225)}}}
= {{{sqrt(289)}}}
= 17


lateral area = {{{pi * r * s = pi * 8 * 17 = 136*pi}}} square inches
surface area 
= base area + lateral area
= {{{pi * r^2 + 136*pi}}}
= {{{pi*8^2+136*pi}}}
= {{{64*pi + 136*pi}}}
= {{{200*pi}}} square inches