The base of a powder packet is a square whose each side is 8 cm and its height is 13 cm. Another packet is cylindrical whose base radius is 7 cm and height 15 cm. Which packet will hold more quantity of powder ? Find the difference in their capacities.
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Packet with square base will be cuboid whose length l = 8 cm, breadth b = 8 cn and height h = 13 cm.
Now, volume of cuboid = l × b × h
= 8 × 8 × 13 cm^3 = 832 cm^3
Volume of cylindrical packet = pi × r^2 × h
= 22/7 × (7)^2 × 15 cm^3
= 22/7 × 7 × 7 × 15 cm^3 = 2310 cm^3
Since 2310 > 832, therefore cylindrical packet will hold more powder
Difference between their capacities = (2310 - 832) cm^3 = 1478 cm^3
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