Question

a solid hemisphere of diameter 6cm is cut into two halves find the total surface area of both halves

Answer 1

Step-by-step explanation:

Surface area of a solid sphere with radius r is 4πr

2

A solid sphere can be divided into two equal hemispheres with a flat surface and a curved surface.

Curved surface area of a solid hemisphere will be half the surface area of solid sphere.

Hence, curved surface area of solid hemisphere =

2

1

∗4πr

2

=2πr

2

And, flat surface area of hemisphere will be the area of circle with radius r.

Hence, flat surface area of hemisphere =πr

2

Total surface area of a solid hemisphere with radius r is, S=2πr

2

+πr

2

=3πr

2

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