To find: the lateral and surface area
Answer to Problem 2CYU
The surface area of the cone is
Explanation of Solution
Given:
Formula used:
The lateral area L of a square pyramid is
The surface area S of a square pyramid is S = L + B.
Calculation:
The given figure is a cone.
The objective is to find the lateral and surface area of the cone.
Find the lateral area of the cone.
Since radius is half the diameter of a
Substitute r= 4 and l = 9 in the lateral area formula to find the lateral area of the cone.
Therefore, the lateral area of the cone is
Find the surface area of the cone.
The area B of the square pyramid is
Substitute
Conclusion:
Therefore, the surface area of the cone is
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