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A cylinder of radius 7 cm and height 24 cm has a cone of the same radius and height 24 cm scooped out. Remaining volume (use π = 22/7) is:

Class 10Volume of Combined SolidsMensuration

A4928
B2219
C2464
D2709

Step-by-Step Solution

Remaining =

\frac{2}{3}

π

r^{2} h = (\frac{2}{3}) (\frac{22}{7}) (49) (24) = (\frac{2}{3}) (22 \times 7 \times 24) = (\frac{2}{3}) (3696) = 2464 cm^{3}

.

Answer: C) 2464

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