Question 253471
The lateral surface area has formula:
(i) {{{A = PI*r^2 + pi*r*L}}}
we know A = 66pi, r = 6. So,
(ii) {{{66pi = PI*6^2 + pi*6*L}}}
subtracting 36pi, we get
(iii) 30pi = 6pi(L)}}}
dividing by 6, we get
(iv) L = 5 units.