a.
To explain : circumference of the base of the cone
a.
Explanation of Solution
Given information:
The circumference of a base of a cone
And the radius is
Concept used:
The formula for circumference of a base of a cone
Calculation:
Here radius is
Here cone is made from a sector with an arc length
Thus the circumference of a base of a cone is the difference between circumference of a circle and arc length of that cut out sector.
Thus the circumference of a circle
b.
To write: Expression for radius
b.
Explanation of Solution
Given information:
The circumference is
Concept used:
The formula for circumference of a base of a cone
Calculation:
The circumference is
Thus the expression
c.
To write: The expression for height
c.
Explanation of Solution
Given information:
Concept used:
Pythagorean theorem:
The sum of the square of the legs of a right triangle is equal to the square of the hypotenuse.
Calculation:
Applying Pythagorean theorem,
Then will get
Substitute
Thus the height is
c.
To write: The expression for volume as a function of
c.
Explanation of Solution
Given information:
The radius
Concept used: . The volume of a cone
Calculation: Here,
Substitute
Thus volume as a function of
Chapter 0 Solutions
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