6. A powder is available in two packs, a tin can
with a square base of each side 9 cm and height
12 cm and one with circular base of radius 3.5
cm and height 10cm. Which of them have greater
/capacity and by how much?
Answers
Capacity of Square base > capacity of Circular Base by 587 cm² ( 152.5 %)
Step-by-step explanation:
We need to find volume of each box to compare capacity
Volume of Tin with Square Base & Height is a cuboid with dimension
9 , 9 & 12 cm
Volume = 9 * 9 * 12 = 972 cm³
Volume of Tin with circular base is a clylinder with dimension
radius 3.5 cm and height 10cm
Volume = π R² h
= (22/7) (3.5)² * 10
= 385
972 > 385
Capacity of Square base > capacity of Circular Base
972 - 385 = 587 cm²
in % = (587 /385) * 100 = 152.5 %
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Volume of Tin with Square Base & Height is a cuboid with dimensions
9 , 9 & 12 cm(l=9,b=9,h=12)
Volume = 9 * 9 * 12 = 972 cm³
Volume of Tin with circular base is a cylinder with dimension
radius 3.5 cm and height 10 cm
Volume = π R² h
= (22/7) (3.5)² * 10
= 385
972 > 385
Capacity of Square base > capacity of Circular Base
972 - 385 = 587 cm²
in % = (587 /385) * 100 = 152.5 %