Concept explainers
(a)
The volume of the sphere.
(a)
Answer to Problem 43A
The volume of the sphere is
Explanation of Solution
Given:
The radius of the solid sphere is
The mass of the solid sphere is
Formula used:
The expression for volume is,
Here,
Calculation:
The volume of the solid sphere is,
Conclusion:
Thus, the volume of the sphere is
(b)
The surface area of the sphere.
(b)
Answer to Problem 43A
The surface area of the sphere is
Explanation of Solution
Given:
The radius of the solid sphere is
The mass of the solid sphere is
Formula used:
The expression for surface area is,
Here,
Calculation:
The surface area of the solid sphere is,
Conclusion:
Thus, the surface area of the sphere is
(c)
The density of the sphere.
(c)
Answer to Problem 43A
The density of the sphere is
Explanation of Solution
Given:
The radius of the solid sphere is
The mass of the solid sphere is
Formula used:
The expression for density is,
Here,
Calculation:
From part (a), the volume of the sphere is
The density of the solid sphere is,
Conclusion:
Thus, the density of the sphere is
(d)
The material used to make the sphere and the cube.
(d)
Answer to Problem 43A
The cube and sphere are made up of silver.
Explanation of Solution
Given info:
The radius of the solid sphere is
The mass of the solid sphere is
Formula used:
The expression for density is,
Here,
Calculation:
From part (c), the density of the sphere is
The density of cube is
The material that is reference to the density of
Hence, the cube and sphere are made up of silver.
Conclusion:
Thus, the cube and sphere are made up of silver.
Chapter 18 Solutions
Conceptual Physics: The High School Physics Program
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