Question
Download Solution PDFIf a cuboid which have the dimension of length = 4 cm, breadth = 6 cm, and height = 6 cm, put in the hemisphere. Find the radius of hemisphere?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A cuboid having dimension:
Length = 4 cm, breadth = 6 cm, height = 6 cm
Formula used:
The radius of hemisphere = \(1\over2\) × (√4h2 + l2 + b2)
Calculation:
2D image of the hemisphere:-
The radius of the hemisphere = \(\sqrt{(l/2)^2 + (b/2)^2 + h ^2}\)
The radius of hemisphere = \(1\over2\) × (√4h2 + l2 + b2)
⇒ \(1\over2\) × √{4 × (6)2} + (4)2 + (6)2
⇒ \(1\over2\) × √144 + 16 + 36
⇒ \(1\over2\) × √196 = \(1\over2\) × 14 = 7 cm
∴ The radius of hemisphere = 7 cm
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