Arrange the following cylindrical and cuboidal shaped containers in increasing order of their volume.

R=r, H=h

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R=2r, H=

\frac{h}{2}

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R=2r, H=h

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L=r, B=r, H=h

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Solution

Volume of cylinder = $π r^{2} h$

R=r, H=h
$V = π r^{2} h . . . (1)$

R=2r, H= $\frac{h}{2}$
$V = π (2 r)^{2} (\frac{h}{2})$
$V = 2 π r^{2} h . . . (2)$

R=2r, H=h
$V = π (2 r)^{2} (h)$
$V = 4 π r^{2} h . . . (3)$

L=r, B=r, H=h
$V = r^{2} h . . . (4)$

From (1), (2), (3) and (4)
(4) < (1) < (2) < (3)

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Arrange the following cylindrical and cuboidal shaped containers in increasing order of their volume.

Volume of cylinder = π r2h R=r, H=h V=π r2h...(1) R=2r, H= h2 V=π (2r)2(h2) V=2π r2h...(2) R=2r, H=h V=π (2r)2(h) V=4π r2h...(3) L=r, B=r, H=h V=r2h...(4) From (1), (2), (3) and (4) (4) < (1) < (2) < (3)