Volumes Practice Test 1

Question : 27 of 40

Marks: +1, -0

Height and base radius of a solid cylinder are 14 m and 4 m respectively. It is melted and recast into a solid cone of the same base radius as that of the cylinder, what will be the height of the cone?

21 m
42 m
48 m
54 m

Validate

Solution:

Here, volume of the cone = Volume of the cylinder
⇒

1/3 πr^2

× height =

πr^2 ×14

∴ Height = 14 × 3 = 42 m
Thus, height of the cone = 42 m.

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