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The image asks to calculate the total surface area of a cylinder where the radius is given, and we need to round the answer to 1 decimal place. Here's how to solve it:

### 1. Surface Area Formula for a Cylinder
The total surface area \( A \) of a cylinder is given by the formula:
\[
A = 2\pi r^2 + 2\pi rh
\]
where:
- \( r \) is the radius,
- \( h \) is the height (length of the cylinder).

From the image:
- The **radius** \( r \) can be determined from the area of the circular base, which is given as \( 25\pi \, \text{mm}^2 \). Since the area of a circle is \( \pi r^2 \), we can equate:
  \[
  \pi r^2 = 25\pi \quad \Rightarrow \quad r^2 = 25 \quad \Rightarrow \quad r = \sqrt{25} = 5 \, \text{mm}.
  \]
- The **height** \( h \) is given as 16 mm.

### 2. Calculate the Total Surface Area
Using the formula and substituting \( r = 5 \, \text{mm} \) and \( h = 16 \, \text{mm} \):

\[
A = 2\pi (5^2) + 2\pi (5)(16)
\]
\[
A = 2\pi (25) + 2\pi (80

Work out the total surface area of the cylinder below. If your answer is a decimal, give it to 1 d.p.

Learn how to calculate the total surface area of a cylinder with a radius of 5 mm and height of 16 mm. This step-by-step solution uses key geometry formulas, including the surface area of solids and circles. Perfect for students in Grades 8-10.

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