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A cone of maximum volume is carved out of a block of wood of size 20cm × 10cm × 10 cm. Find the volume of the cone carved out, correct to one decimal place.

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1047.6

1049.6

1045.6

1041.6

answer is A.

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Detailed Solution

Volume of the cone is

where h is the height of the cone, r is the radius of the base of the cone and the value of π=227
We are given that a cone of maximum volume is carved out of a block of wood of size 20cm × 10cm × 10 cm.
Volume of the cone will be

where r is the radius and h is the height. Question Image

We have Volume of the carved out cone is 1047.6

(option 1)
So, we write it as 1047.6

So, option 1 is correct.

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