
a
To find the value of
a

Answer to Problem 12CST
Explanation of Solution
Given information:
For small cone
Base
For larger cone
Base
Formula used:
Calculation:
For smaller cone
For larger cone,
Comparing these equation ,
Using cross multiplication method
Calculating the above expression
The final answer is
b.
To find the lateral surface area of the smaller and larger cones
b.

Answer to Problem 12CST
For smaller cone, area is
For larger cone, area is
Explanation of Solution
Given information:
For small cone
For larger cone
Formula used:
To calculate the slant height of both the cones
To calculate lateral surface areas of the cone
Calculation:
For smaller cone, slant height is
Squaring and adding the above expression
Now, lateral surface area of the smaller cone is
Substituting values of radius and slant height
So the lateral surface area of the smaller cone is
For larger cone, slant height is
Squaring and adding the above expression
Now, lateral surface area of the larger cone is
Substituting values of radius and slant height
Lateral surface area of the larger cone is
c.
To find the lateral surface area of the lampshade
c.

Answer to Problem 12CST
Explanation of Solution
Given information:
Surface area of the larger cone
Surface area of the smaller cone
Formula used:
Lateral surface area of lampshade
Calculation:
Substituting the values of smaller and lager cones in the formula
So the lateral surface area of the lampshade is
Chapter 10 Solutions
ELEMENTARY+INTERMEDIATE ALGEBRA
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