The c.s.A of a right circular cylinder of equal radius and height is the area of its base
Answers
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Step-by-step explanation:
Given : A statement that CSA of right circular cylinder of equal radius and height is equal to the area of its base & top
To find : Statement is True or False and justification
Solution:
CSA - Curved Surface Area
CSA of right circular cylinder = 2πrh
r = Radius of cylinder
h = height of cylinder
Radius of cylinder = height of cylinder
=>Let r = h = x
Area of base & top = πr² + πr²
= πx² + πx²
= 2 πx²
CSA = 2πrh
= 2π (x)(x)
= 2 πx²
2 πx²= 2 πx²
=> CSA of right circular cylinder = Area of base & top if radius = height
Hence Given statement is true
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