Question

What is the surface area of the composite figure? (Use 3.14 for π.) pic in comments

Answer 1

if you look at the picture, it really is a half-sphere on top of a cylinder
so, the Area of a sphere is = \(\large 4\pi r^2\)
the area of a cylinder will be \(\large 2\pi r(h+r)\)

Answer 2

so your total area will be
half of the sphere's total area
that is \(\cfrac{4\pi r^2}{2} \implies 2\pi 8^2\)
PLUS
the cylinder's
\(2\pi 8(7+8)\)

Answer 3

.... MINUS \(2\pi r\
because above is really adding 2 circles of the cylinder, and you'd be adding only 1, I just noticed

Answer 4

that is ... MINUS \(2\pi r\)

Answer 5

\(\large 2\pi 8^2+2\pi (8)(7)+\pi 8^2\)
there, that much