Question

circular
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14 A rectangular bed of dimensions 20 m by 15 m by
10 m is to be made. If the mud has to be dug out
from a circular well of radius 12 m, find the depth
up to which the well should be dug.
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Answer 1

★Correct Question :-

‘A rectangular bed of dimensions 20 m by 15 m by

10 m is to be made.If the mud has to be dug out

from a circular well of radius 12 m, find the depth

up to which the well should be dug.’

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★Given :-

⇒Length = 20m = l

⇒Breadth = 15m = b

⇒height = 10m = h

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★Solution★:-

⇒Volume = L × B × H

⇒V = 20m × 15m × 10m

$\boxed{⇒V = 3000m³}$

VOLUME OF RECTANGULAR BED = VOLUME DUG

⇒Radius = 12m = r

⇒Volume = 3000m³

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★Solution★:-

⇒V = πr²h

⇒3000m³ = 22/7 × 12 × 12 × h

$⇒ \frac{3000 \times 7}{22 \times 12 \times 12} = h \\ \\ = \frac{21000}{3168} = h \\ \\ = \boxed{6.62m = h}$

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I HOPE IT HELPS.