Ramesh has the following three containers - cylindrical container a,having radius r and height b - cylindrical container b,having radius 2r and height 1/2b - cuboidal container c,having dimensions r*r*b increasing order of V is? The arrangement of

The arrangement of the increasing order of their volumes is what

Answer 1

#V_C < V_A < V_B#

The volume #V_A# of cylindrical container #A# with radius #r# and height #b# is
#V_A=pixxr^2xxb=pir^2b=3.1416r^2b#
The volume #V_B# of cylindrical container #B# with radius #2r# and height #1/2b# is
#V_B=pixx(2r)^2xxb/2=pixx4r^2xxb/2=2pir^2b=6.2832r^2b#
The volume #V_C# of cuboidal container #C#, having dimensions #r*r*b# is
#V_C=rxxrxxb=r^2b#
It is apparent that #V_C < V_A < V_B#
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Answer 2

The arrangement of the containers in increasing order of volume (V) would be as follows:

  1. Cuboidal container c with dimensions ( r \times r \times b ) (Volume = ( r^2 \cdot r \cdot b = r^3b ))
  2. Cylindrical container a with radius r and height b (Volume = ( \pi r^2b ))
  3. Cylindrical container b with radius 2r and height ( \frac{1}{2}b ) (Volume = ( \pi (2r)^2 \cdot \frac{1}{2}b = 2\pi r^2b ))

So, the increasing order of volume is c, a, b.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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