i. Answer Cup 1 will hold more water as it has a greater volume. Explanation 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: v = ( π r 2 h ) 3 Calculation: Cup 1: Given d=8 cm Hence, r=d/2 r= 4 cm Substituting the values of radius and height v = 3.14 × 4 2 × 10 3 v = 502.4 3 Hence, the volume of cup1 is =167 cm 3 Cup 2: Substituting values of radius and height v = 3.14 × 3 2 × 11 3 v = 310.86 3 Hence, volume of Cup2 =103.67 cm 3 Conclusion: The cup1 has greater volume than cup 2, hence our prediction was correct. ii. To determine Find the volume of each paper cup to the nearest tenth of the cubic centimeters Answer Volume of Cup 1 is 170 cm 3 and volume of Cup 2 is 100 cm 3 . Explanation Formula Used: v = ( π r 2 h ) 3 Calculation: Cup 1: Given d=8 cm Hence, r= d 2 r = 8 2 r= 4 cm Substituting the values of radius and height v = 3.14 × 4 2 × 10 3 v = 502.4 3 Hence, the volume of cup1 is =167 cm 3 ˜ 170cm 3 Cup 2: Substituting values of radius and height v = 3.14 × 3 2 × 11 3 v = 310.86 3 Hence, volume of Cup2 =103.67 cm 3 ˜ 100 cm 3

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN: 9780547587776

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Question

Chapter 10.8, Problem 12E

To determine

Which cup do you predict will hold more water? Explain your prediction.

Expert Solution

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: v=(πr2h)3

Calculation:

Cup 1:

Given d=8 cm

Hence, r=d/2

r= 4 cm

Substituting the values of radius and height

v = 3.14×42×103v=502.43

Hence, the volume of cup1 is

=167 cm³

Cup 2:

Substituting values of radius and height

v = 3.14×32×113v=310.863

Hence, volume of Cup2

=103.67 cm³

Conclusion:

The cup1 has greater volume than cup 2, hence our prediction was correct.

ii.

To determine

Find the volume of each paper cup to the nearest tenth of the cubic centimeters

ii.

Expert Solution

Answer to Problem 12E

Volume of Cup 1 is 170 cm³and volume of Cup 2 is 100 cm³.

Explanation of Solution

Formula Used:

v=(πr2h)3

Calculation:

Cup 1:

Given d=8 cm

Hence, r= d2

r=82

r= 4 cm

Substituting the values of radius and height

v = 3.14×42×103v=502.43

Hence, the volume of cup1 is

=167 cm³˜ 170cm³

Cup 2:

Substituting values of radius and height

v = 3.14×32×113v=310.863 Hence, volume of Cup2

=103.67 cm³˜ 100 cm³

Chapter 10.8, Problem 11E

Chapter 10.8, Problem 13E

Chapter 10 Solutions

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

Ch. 10.1 - Prob. 1C Ch. 10.1 - Prob. 2C Ch. 10.1 - Prob. 3C Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E

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