a decorative block is shown which is made up of two solids a cube and hemisphere the base of the block is a cube with edge 6 cm and hemisphere fixed on the top has diameter 4.2 cm find total surface area of the block
Answers
Answer:
Step-by-step explanation:
a decorative block is shown which is made up of two solids a cube and hemisphere the base of the block is a cube with edge 6 cm and hemisphere fixed on the top has diameter 4.2 cm find total surface area of the block
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