Question

the dimensions of a cuboid are 44 cm, 21 cm, 12 cm. it is melted and a cone of height 24 cm is made. find the radius of its base

Answer 1

We know, volume of a cuboid = l×b×h
volume = 44×21×12 = 11,088 cm³

Now, volume of cone = 1/3(πr²h)
11,088 = 1/3(π×r×r×24)
11,088 = πr²×8
πr²= 1386
r² = (1386×7)/22
r² = 441
r = 21 cm

Therefore, radius of its base is 21cm.