State true/ false:The total surface area of a solid right cylinder of radius r and height h is 2πr(h+r).

State true/ false:

The total surface area of a solid right cylinder of radius $r$ and height $h$ is $2 πr (h + r)$ .

A
True
B
False

Solution:

Consider the given statement,
The total surface area of a solid right cylinder of radius

r

and height

h

is

2 πr (h + r)

. The curved surface area for a cylinder =

2 (π) rh

Total surface area = Curved surface area + Area of the two circles
Total surface area

= 2 (π) rh + 2 (π) r^{2}

Total surface area

= 2 (π) r (r + h)

Hence, the total surface area is

2 πr (r + h)

.
Thus, the given statement is true.
Therefore, option 1 is correct.

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