Total surface area of a cylinder of radius h and height r is _________.
Solution:
The total surface area of the cylinder is equal to the curved surface of the cylinder plus the top and bottom surfaces of the cylinder.
Therefore,
Total surface area of cylinder = 2πhr + πh² + πh²
= 2πrh + 2πh²
= 2πh(r + h)
✦ Try This: Total surface area of a cylinder the height of which is same as its radius will be _________.
The total surface area of the cylinder is equal to the curved surface of the cylinder plus the top and bottom surfaces of the cylinder.
Therefore,
Total surface area of cylinder = 2πrh + πr² + πr²
= 2πrh + 2πr²
= 2πr(r + h)
Since h = r the total surface area(A) of the cylinder becomes:
A = 2πr(r + r)
A = 2πr(2r)
A = 4πr²
Total surface area of a cylinder the height of which is same as its radius will be 4πr².
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11
NCERT Exemplar Class 8 Maths Chapter 11 Problem 44
Total surface area of a cylinder of radius h and height r is _________.
Summary:
Total surface area of a cylinder of radius h and height r is 2πh(r + h)
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