# What is the surface area of a slanted cylinder?

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This is part of a series on common misconceptions.

Is this true or false?

A cylinder which has slant height $l$ and circular flat surfaces with radius $r$ has a total surface area equal to $2 \pi r (r + l )$.

**Why some people say it's true:** The total surface area of a right cylinder is $2 \pi r (r + h )$, where $h$ is the height of the cylinder. The surface area of the slanted cylinder can be calculated in a similar way, using slanted height instead. Hence the surface area of a slanted cylinder is $2 \pi r (r + l )$.

**Why some people say it's false:** (One-line explanation that a beginner might give)

The statement is $\color{#D61F06}{\textbf{false}}$.

Proof:(Complete proof of the statement)

Rebuttal: (Address any concerns that people have)

Reply: (Explain why the argument is not vald)

Rebuttal:

Reply:

(If relevant, add in an example problem that demonstates understanding of this misconception.

**See Also**

**Cite as:**What is the surface area of a slanted cylinder?.

*Brilliant.org*. Retrieved from https://brilliant.org/wiki/is-the-surface-area-of-a-slanted-cylinder-2-pi-r-r/