Answer:
The lateral area of a cone equals
PI * radius * slant height
=PI * 3 * 5
lateral area = 47.1238898038 square centimeters
Step-by-step explanation:
The surface area of the cone is 75.36 centimeters square.
Given that,
A cone has a base radius of 3 cm, a perpendicular height of 4cm,
And a slant height of 5cm.
We have to determine,
The surface area of the cone.
According to the question,
To determine the surface area of the cone following all the steps given below.
A cone has a base radius of 3 cm, a perpendicular height of 4cm,
And a slant height of 5cm.
The surface area of the cone is,
[tex]\rm Surface \ area \ of \ the\ cone = \pi r \ (r+l)} \right )\\\\[/tex]
Where r is the radius of the cone,
l is the slant height of the cone,
And h represents the height of the cone.
Substitute all the values in the formula,
[tex]\rm \rm Surface \ area \ of \ the\ cone = \pi r \ (r+l)} \right )\\\\ Surface \ area \ of \ the\ cone = \dfrac{22}{7} \times 3 \times (3 +5)\\\\ Surface \ area \ of \ the\ cone = \dfrac{66}{7} \times( 8 )\\\\ Surface \ area \ of \ the\ cone = 9.42 \times 8 \\\\ Surface \ area \ of \ the\ cone = 75.36 \ cm^2[/tex]
Hence, The surface area of the cone is 75.36 centimeters square.
For more details refer to the link given below.
https://brainly.com/question/3719252
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https://brainly.com/question/4515567
