finish the function definition please and thank you! The lateral surface area of a right-circular cone (a right cone with a base that is a circle) can becalculated by the function:22√r² +h²where h is the height of the cone and r is the radius of the circular base.f: h, r → f(h, r); f(h, r) = πY X 1 def area_of_cone (height, radius):This function will return the lateral surface area of a right circular cone with the specifiedpositive height and radius. Complete the function definition. For the value of л, use variable pifrom the math module. Python's math module also has a function that calculates square roots.To find out about this function, use Python's help facility. In the shell, type:

Answered: The lateral surface area of a…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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finish the function definition please and thank you!

The lateral surface area of a right-circular cone (a right cone with a base that is a circle) can be
calculated by the function:
2
2
√r² +h²
where h is the height of the cone and r is the radius of the circular base.
f: h, r → f(h, r); f(h, r) = πY X 1

def area_of_cone (height, radius):
This function will return the lateral surface area of a right circular cone with the specified
positive height and radius. Complete the function definition. For the value of л, use variable pi
from the math module. Python's math module also has a function that calculates square roots.
To find out about this function, use Python's help facility. In the shell, type:

Expert Solution

Step 1

Answer:

import math
def area_of_cone(height,radius):
    if height<=0 or radius<=0:#To handle negative and zero inputs 
        return 0.0 
    else:#For other non-negative inputs
        return math.pi*radius*math.sqrt((radius**2)+(height*2))
#Test Case 1: Positive input: height=5 units, radius=3 units 
#Test Case 2: Zero input: height=0 unit, radius=0 unit
#Test Case 3: Negative input : height=-1 unit, radius=-5 units 
area=area_of_cone(5,3)
area=area_of_cone(0,0)
area=area_of_cone(-1,-5)

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