Question

5. A rectangle whose length and width are 10 and 6, respectively, is shown below. The rectangle is continuously
rotated around a straight line to form an object whose volume is 150.
6
10
hich line could the rectangle be rotated around?
A. a long side
B. a short side
C. the vertical line of symmetry
D. the horizontal line of symmetry

Answer 1

TheThe line that the rectangle could be rotated around is: C. the vertical line of symmetry.

Vertical line of symmetry

Analysis

Volume=Base area×height

If the rectangle rotated around horizontal line of symmetry

V1=Ah=πr²h

=π×9×10

=90π

If the rectangle rotated around short line

V2=Ah=πr²h

=π×10²×6

=π×100×6

=600π

If the rectangle rotated around vertical line of symmetry

V3=Ah=πr²h

=π×5²×6

=π×25×6

=150π

Therefore the correct option is C.

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