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Mathematics

Grade9

Easy

Question

Find the volume of the empty space left inside the cylinder.

261.9
246.3
321.4
1245.5

hint Hint:

The empty space left inside the cylinder is = volume of cylinder( $pi cross times 〖 left parenthesis r a d i u s right parenthesis 〗 squared cross times h e i g h t$ ) - volume of the sphere $4 over 3 cross times straight pi cross times straight r cubed$

The correct answer is: 261.9

Volume of cylinder is
$Volume equals πr squared straight h equals straight pi cross times 5 squared cross times 10 equals 250 straight pi equals 785.4 Volume space of space sphere space is Volume equals 4 over 3 πr cubed equals 4 over 3 cross times straight pi cross times 5 cubed equals 523.5$
Volume of empty space = 785.4 – 523.5
= 261.9

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