(2) The dimensions of a cuboid are 44 cm, 21 cm and 12 cm. It is melte

1.	(2) The dimensions of a cuboid are 44 cm, 21 cm and 12 cm. It is melted and a cone ofheight 24 cm is made. Find the radius of its base
Answer» We know, volume of a cuboid = l×b×hvolume = 44×21×12 = 11,088 cm³ Now, volume of cone = 1/3(πr²h) 11,088 = 1/3(π×r×r×24)11,088 = πr²×8πr²= 1386r² = (1386×7)/22r² = 441r = 21 cm Therefore, radius of its base is 21cm.

(2) The dimensions of a cuboid are 44 cm, 21 cm and 12 cm. It is melted and a cone ofheight 24 cm is made. Find the radius of its base

Answer»

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

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

Therefore, radius of its base is 21cm.