Question

Please help with this geometry problem please

Answer 1

The slant height is 51 cm. The radius can be found from the Pythagorean theorem:
  r^2 + (24 cm)^2 = (51 cm)^2
  r^2 = (51^2 -24^2) cm^2 = 2025 cm^2
  r = 45 cm

The area of the circular base is
  A = π·r^2 = 2025π cm^2

The lateral area is
  A = πrs . . . . . where s is the slant height
  A = π·(45 cm)·(51 cm) = 2295π cm^2

Then the total area is
  total area = base area + lateral area
  = 2025π cm^2 + 2295π cm^2
  = 4320π cm^2