The dimensions of a cuboid are 44 cm, 8 cm, 16 cm. It is melted and a cone of height 21 cm is made. Find the radius of its base.
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The dimensions of cuboid are 44 cm, 21 cm and 12 cm.
Let radius of cone be r cm.
Height of cone, h = 24 cm.
It is given that cuboid is melted to form a cone.
∴ Volume of metal in cone = Volume of metal in cuboid.
1/3πr2h=44×21×12(Volume of cuboid=Length×Breadth×Height).
1/3×22/7×r2×24=44×21×12.
r=√44×21×12×2122×24.
=√21×21.
=21 cm.
So, radius of base of cone is 21 cm.
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