How do I find the surface area of the figure at the right to the nearest whole number?

Question

The figure is a cylinder with measurements of the radius= 6mm the height = 8mm and there is a cone on top of the cylinder with a measurement of the slant height being 7mm. There’s also a hint I was given, it says to add the base, the LA of the cylinder, and the LA of the cone.

Answer 1

Yes, you add the 3 areas: base A = π r² = 36 π; cylinder LA = 2π r h = 2(6)(8)π = 96 π; cone LA = π r l = (6)(7) π = 42 π. Their sum is 174 π ≅ 547 mm².