Question

Calculate the total surface area of the right circular cylinder shown in the above figure (in square units).

• A. $300\pi$
• B. $400\pi$
• C. $500\pi$
• D. $600\pi$

Answer 1

The correct option is D $600\pi$

From the given figure, we can see that:

The diameter of the cylinder $\left(d\right)=20$ and

The height of the cylinder $\left(h\right)=20$

Hence, the radius of the cylinder will be $r=\frac{20}{2}=10$

We know that, the total surface area of a cylinder is $2\pi r^2+2\pi rh$

Here, $r=10,h=20$

$\therefore$ The total surface area $=2\pi (10{)}^2+2\pi (10\times 20)$

$=2\pi (100+200)$

$=\pi (2\times 300)$

$=600\pi squareunits$

Hence, the total surface area of the given cylinder is $600\pi squareunits$.