Concept explainers
i.
Which cup do you predict will hold more water? Explain your prediction.
i.
Answer to Problem 12E
Cup 1 will hold more water as it has a greater volume.
Explanation of Solution
Given:
Diameter of cup 1 is 8 cm (d) and height is 10 cm (h)
Radius of cup 2 is 3 cm (r) and height is 11 cm (h)
Concept Used:
The cone having greater radius will have more volume when height of both cones relatively same.
Formula Used:
Calculation:
Cup 1:
Given d=8 cm
Hence, r=d/2
r= 4 cm
Substituting the values of radius and height
Hence, the volume of cup1 is
=167 cm3
Cup 2:
Substituting values of radius and height
Hence, volume of Cup2
=103.67 cm3
Conclusion:
The cup1 has greater volume than cup 2, hence our prediction was correct.
ii.
Find the volume of each paper cup to the nearest tenth of the cubic centimeters
ii.
Answer to Problem 12E
Volume of Cup 1 is 170 cm3and volume of Cup 2 is 100 cm3.
Explanation of Solution
Formula Used:
Calculation:
Cup 1:
Given d=8 cm
Hence, r=
r= 4 cm
Substituting the values of radius and height
Hence, the volume of cup1 is
=167 cm3˜ 170cm3
Cup 2:
Substituting values of radius and height
=103.67 cm3˜ 100 cm3
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