mensuration problem

There is a solid wooden cube of side 10 cm. From a corner a cone of height 20 cm and radius 6cm is allowed to drill throuh itsuch that cone tip enters throug one corner and just touches the opposite corner of its body diagonal and makes a cavity in the cube NOW THE QUESTION IS THAT INITIALLY WE HAVE 1000cm^3 volume of wooden cube HOW MUCH WOOD is remaining after we have drilled the cone in cube Note : here in drilling ,the volume of wood getting out of cone is equal to the volume of drilling equipment entered in cube

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Easy Math Editor

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Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

5ye

aditya dev - 5 years, 9 months ago

Hey what's the answer is it 1780÷7

Aman Verma - 5 years, 4 months ago

The problem here is that the shape formed just initially is difficult to imagine

Aakash Kansal - 8 years, 4 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$