a decorative block stone which is made of two solids a q and a hemisphere the base of the block is a cube with edge 6 cm and the effect on the top has diameter of 4.2 cm find the total surface area of the blocks and the volume of the block form
Answers
HEY...
HERE'S YOUR....
HIGH RATED GABRU---HARSH ♦️♦️♦️♦️♦️♦️♦️♦️♦️♦️
SOLUTION:
The decorative block is a combination of a cube and the hemisphere.
For cubical portion:
Each edge= 5 cm
For hemispherical portion:
Diameter= 4.2 cm
Radius(r)= 4.2/2= 2.1 cm
Total surface area of the cube= 6 × (edge)²
= 6 (5)²= 6 × 25= 150 cm²
Here the part of the cube where the hemisphere is attached is not included in the surface area.
So the total surface area of the decorative block= total surface area of the cube+ area of base of hemisphere + curved surface area of hemisphere
total surface area of the decorative block= 150 - πr² + 2πr²
= 150 +πr²
= 150 + (22/7) × 2.1× 2.1
= 150 + 13.86 = 163.86cm²
Hence,total surface area of the decorative block=163.86 cm²
HOPE THIS WILL HELP YOU....
SOLUTION:
The decorative block is a combination of a cube and the hemisphere.
For cubical portion:
Each edge= 5 cm
For hemispherical portion:
Diameter= 4.2 cm
Radius(r)= 4.2/2= 2.1 cm
Total surface area of the cube= 6 × (edge)²
= 6 (5)²= 6 × 25= 150 cm²
Here the part of the cube where the hemisphere is attached is not included in the surface area.
So the total surface area of the decorative block= total surface area of the cube+ area of base of hemisphere + curved surface area of hemisphere
total surface area of the decorative block= 150 - πr² + 2πr²
= 150 +πr²
= 150 + (22/7) × 2.1× 2.1
= 150 + 13.86 = 163.86cm²
Hence,total surface area of the decorative block=163.86 cm²
HOPE THIS WILL HELP YOU....