Question

A solid metal sphere is cut through its center into 2 equal parts. If the diameter of the sphere is `3 1/2 cm`, find the total surface area of each part correct to two decimal places. 

Answer 1

Diameter of sphere = `3 1/2 cm = 7/2 cm` 

Therefore, radius of sphere = `7/4 cm` 

Total curved surface area of each hemispheres = 2πr² + πr²

= 3πr² 

= `3 xx 22/7 xx 7/4 xx 7/4`

= `462/16 cm^2`

= 28.88 cm²