Concept explainers
a.
To calculate: The total surface area of a sphere having radius 7 units.
a.
Answer to Problem 1PSA
The total surface area of a sphere is
Explanation of Solution
Given Information:
Radius of a sphere
Formula used:
Total surface area of a sphere
Calculation:
We know that, Total surface area of a sphere
Where
Hence, total surface area of a sphere is
b.
To find: The total surface area of a sphere having radius of 3 units.
b.
Answer to Problem 1PSA
The total surface area of a sphere is
Explanation of Solution
Given Information:
Radius of a sphere
Formula used:
Total surface area of a sphere
Calculation:
We know that, Total surface area of a sphere
Where
Hence, total surface area of a sphere is
c.
To find: The total surface area of a sphere having diameter of 6 units.
c.
Answer to Problem 1PSA
The total surface area of a sphere with diameter 6 is
Explanation of Solution
Given Information:
Diameter of a sphere
Formula used:
Total surface area of a sphere
Calculation:
As diameter of a sphere
Therefore, radius
We know that, Total surface area of a sphere
Where
Hence, total surface area of a sphere is
d.
To find: The total surface area of a sphere having diameter of 5 units.
d.
Answer to Problem 1PSA
The total surface area of a sphere is
Explanation of Solution
Given Information:
Diameter of a sphere
Formula used:
Total surface area of a sphere
Calculation:
As diameter of a sphere
Therefore, radius
We know that, Total surface area of a sphere
Where
Hence, total surface area of a sphere is
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