A hemispherical depression is cut out from one face of a cuboidal block of side 7 cm such that the diameter of the hemisphere is equal to the edge of the cube. Find the surface area of the remaining solid.
Answer (1)
3rd Apr, 2021
Hello Aspirant,
Given Side of the cube, a = 7 cm
Hence area of the leftover cubical surface = 5a² = 5 x 7² = 245 cm²
Diameter of the hemisphere = 7 cm
=> radius of the hemisphere = 7/2 = 3.5 cm
Area of the hemispherical depression = 2πr²
= 2 x 22/7 x 3.5 x 3.5
= 77 cm²
Hence total surface area of the remaining portion
= 245 + 77
= 322 cm²
Hence the total surface area of the remaining solid is 322 cm²
I hope this will help you.
Feel free to ask any query!!
All the best !!
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