Q.length of a cube shaped solid wooden piece is 14 cm from its top face some amount of food is cut out in the shape of a hemisphere with radius 7 cm find the total surface area and volume of the corresponding sides.
Answers
sorry
but it is improper question
The total surface of area of the cube is 1330 cm².
The volume of the cube is 2025.4 cm³.
• Given data :
The length of the side of the cube is 14 centimetres.
The radius of the hemisphere is 7 centimetres.
• At first,we have to calculate the volume of the cube by using the following mathematical formula :
= (Side)³
= (14)³
= 2744 cm³
• Now,we have to calculate the volume of the hemisphere by using the following mathematical formula :
= 2/3 × π × (radius)³
= 2/3 × 22/7 × (7)³
= 718.6 cm³
So,the actual volume of the cube is = 2744-718.6 = 2025.4 cm³ (answer)
• Now, we have to calculate the surface area of the cube excluding the hemisphere's side by using the following mathematical formula
= 5 × (side)²
= 5 × (14)²
= 980 cm²
• Now,the surface area of the hemisphere's side
= (Surface area of the side - surface area of the base of the hemisphere) + curved surface area of the hemisphere
= {(14)²-(π×49)}} + (2×π×49)}
= ( 196 - 154) + ( 308)
= 42 + 308
= 350 cm²
•So,the total surface area of the cube is
= (350+980)
= 1330 cm² (answer)