total surface area of cylinder= lateral surface area+ area of two circular ends. is true or false.
Answers
Answer:
true
Step-by-step explanation:
2πr(r+h)=2πrh+2πr²
taking common
=2πr(r+h)
Answer:
The given statement is True.
Step-by-step explanation:
We need to find if the total surface area of cylinder = lateral surface area + area of two circular ends
We know that the total surface of the cylinder = 2πr(r+h)
We also know that for a cylinder,
Lateral surface area = 2πrh --(i)
The area of two circular ends = 2 * Area of 1 circular end
= 2 * πr²
= 2πr² --(ii)
Taking RHS of the given question,
= Lateral surface area + area of two circular ends
= 2πrh + 2πr²
Take the values common to both the terms,
= 2 π r (r + h)
= LHS
= Total surface area of cylinder
Therefore, the given statement is True.