Question

A solid metal sphere is cut through the centre into two equal parts. Find the total surface area of each part if the radius of sphere is 3.5 cm

Answer 1

Here you answer friend

Answer 2

Answer:

A solid metal sphere is cut through the centre into two equal parts. The total surface area of each part if the radius of sphere is 3.5 cm is 115.5 cm²

Step-by-step explanation:

When the metal sphere is cut into two, we get two closed hemispheres.

The hemispheres are equal, and so they have the same surface area.

The surface area of the closed hemisphere is given by:

= Surface area of the hemispherical part + area of the circular bottom

Surface area of the hemisphere = 2πr²

Doing the substitution we have:

= 2 × 22/7 × 3.5² = 77 cm²

The area of the circular part is given by:

= 22/7 × 3.5² = 38.5 cm²

The total surface area is given by:

= 38.5 + 77 = 115.5 cm²

So, each hemisphere has a surface area of 115.5 cm²