To find: the lateral and surface area
Answer to Problem 11PPS
The surface area of the cone is a
Explanation of Solution
Given:
Consider the figure.
Formula used:
The lateral area L of a cone is given by the formula
The surface area S of a cone is given by the formula
S = L + B
Calculation:
The given figure is a cone.
The objective is to find the lateral and surface area of the cone.
First find the lateral area of the cone.
Put r = 4 and l = 10 in the lateral area formula to find the lateral area of the cone.
Thus,
Therefore, the lateral area of the cone is approximately
Next find the surface area of the cone.
First find the area B ofthe cone. The area B ofthe base is given by
Put
Conclusion:
Therefore, the surface area of the cone is a
Chapter 12 Solutions
Pre-Algebra Student Edition
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