Answer :
Answer:
[tex](a)8\pi cm^2\\(b)4\pi cm^2\\(c)12\pi cm^2\\(d)12\pi cm^2[/tex]
Step-by-step explanation:
Radius of the Sphere =2cm
(a)Surface Area of the rounded part of the Hemisphere
[tex]=2\pi r^2\\=2\pi *2^2\\=8\pi cm^2[/tex]
(b)Area of the circular base of the hemisphere
[tex]=\pi r^2\\=\pi *2^2\\=4\pi cm^2[/tex]
(c)Total Surface Area =Area of the rounded part+Area of the circular base
[tex]=8\pi + 4\pi=12\pi cm^2[/tex]
(d)If another student completed the same problem using the formula,
Surface Area of a Hemisphere
[tex]=3\pi r^2\\=3\pi *2^2\\=12\pi cm^2[/tex]
The solution would be the same as the surface area determined above.