It's a question from mensuration it's a 25 point question
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sanathkumar170p2ltuv
Volume = 900 cm^3 volume of cylinder = pi r ^h hight= 30 22/7 (r) ^2 (30) = 1800 find r then subtract volume of cuboid from volume of cylinder to get the wastede amount.
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volume of cylinder = pi r ^h
hight= 30
22/7 (r) ^2 (30) = 1800
find r
then subtract volume of cuboid from volume of cylinder to get the wastede amount.
Here is your answer,
Given : length of cuboid = 30 cm and cross section like square of sides 14 cm
So, Height and breadth of the cuboid = 14 cm
For maximum possible volume of cylinder,
=> Radius of cylinder,(r) = 7 cm
=> Height of the cylinder,(h) = 30 cm
So,
Volume of cylinder = π × r² × h
=> 22/7 × 7² × 30
=> 22 × 7 × 30
=> 4620 cm³
Therefore, volume of cylinder = 4620 cm³
And,
Volume of cuboid = 14 × 14 × 30 = 5880 cm³
Volume of the metal left after the cylinder is cut out = (Volume of cuboid) - (Volume of cylinder) = (5880 - 4620) = 1260 cm³
Therefore, the volume of the wood wasted = 1260 cm³
Hope it helps you.
Thank you.