To find:The lateral and surface area of the cone.
Answer to Problem 27STP
The lateral area of the cone is
The surface area of the cone is
Explanation of Solution
Given:
Radius of cone = 6 centimeters
Slant height = 15 centimeters.
Formula used:
The lateral area L of a cone is
The surface area S of a cone is S=L+B.
Calculation:
Consider the cone whose radius is 6 cm and slant height is 15 cm.
Find the lateral area of the cone as follows:
Substitute
Hence, the lateral area of the cone is approximately
Find the surface area of the cone as follows:
The area B of the basis is
Substitute
Conclusion:Hence, the lateral area of the cone is
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