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The given figure shows the cross-section...

The given figure shows the cross-section of an ice cream cone consisting of a cone surmounted by a hemisphere. The radius of the hemisphere is 3.5 cm and the height of the cone is 10-5 cm. The outer shell ABCDEF is shaded and is not filled with ice-cream. AF = DC = 0.5 cm, AB // FE and BC // ED. Calculate :
(i) the volume of the ice-cream in the cone (the internal volume of the cone including the hemisphere) in `cm ^(3),`
(ii) the volume of the outer shell (the shaded portion) in `cm ^(3).`
In each case, give your answer correct to the nearest `cm ^(3).`

Text Solution

Verified by Experts

The correct Answer is:
`175 cm ^(3)`
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ICSE-CYLINDER, CONE AND SPHERE -EXERCISE 20 (G)
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