1. The diameter of one sphere is three times that of another. What is the ratio of their areas? Of their volumes? 2. What is the radius of a sphere whose area and volume have the same numerical value? 3. If a ball 3 inches in diameter weighs 15 lb.’ what is the diameter of a ball of the same material weighing 120 lb. 4. A cylindrical jar 6 inches in diameter and 8 inches high, contains 50 spherical balls of 1 inch diameter. How many cubic inches of water must be added to fill the jar fully?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
100%

1. The diameter of one sphere is three times that of another. What is the ratio
of their areas? Of their volumes?


2. What is the radius of a sphere whose area and volume have the same
numerical value?


3. If a ball 3 inches in diameter weighs 15 lb.’ what is the diameter of a ball
of the same material weighing 120 lb.


4. A cylindrical jar 6 inches in diameter and 8 inches high, contains 50
spherical balls of 1 inch diameter. How many cubic inches of water must
be added to fill the jar fully?


5. Find the volume of the largest sphere that can be submerged in a conical
vessel of height 12 inches and radius 7 inches.


6. A pyramid of height 15 ft is to be divided into three solids by passing
planes parallel to the base. Find the height of each solid if their volumes
are equal.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 6 images

Blurred answer
Knowledge Booster
Pressure and stress
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning