Question

A decorative block which is made up of two solid cube and hemisphere the base of the block is a cube with edge of 6 and the hemisphere fixed on a top has a diameter of 4.2 find the total surface area of the block and the volume of the block formed

Answer 1

May be it will help you

Answer 2

Answer:

229.86 cm²

Step-by-step explanation:

Since the radius of the hemisphere is not equal to the edge of the cube there will be some spaces left at the top as part of the cube.

We need the surface area of the cube and hemisphere.

Area of the cube :

6 × 6 × 5 = 180 cm² since only 5 sides are completely squares.

The remaining side has a hemisphere.

The area of the top face = area of the face - the area of the base of the hemisphere (circle)

= 6 × 6 - (22/7 × (4.2/2)²)

= 36 - 13.86 = 22.14 cm²

The total area of the cubical = 22.14 + 180 = 202.14 cm²

The area of the hemisphere = 2 × pie × r²

= 2 × 22/7 × 2.1² = 27.72 cm²

Total surface area of the solid = 27.72 + 202.14 = 229.86 cm²