A 36 cm long, 22 cm broad, and 49 cm high cuboid is melted and moulded into a solid sphere. What will be the radius of this sphere? [Use π = $\frac{22}{7}$]
Answer & explanation
Correct answer: option 1
We know that,
Volume of cuboid = lbh
Volume of sphere = \(\frac{4}{3}\)πr3
We have,
Length of the cuboid = 36 cm
Breadth = 22 cm
Height = 49 cm
According to the question,
lbh = \(\frac{4}{3}\)πr3
(\(\frac{4}{3}\)) × (\(\frac{22}{7}\)) × r3 = 36 × 22 × 49
= r3 = (27 × 49 × 7)
= r = 21