The radius and slant height of a cone are 59.5 cm and 85 cm, respectively. Find its total surface area.

The correct option is 27,021.5 cm².

To find the total surface area of a cone, we need to calculate the sum of the area of its circular base and its curved surface area. The formula for the total surface area of a cone is given by:

$$\text{Total Surface Area (TSA)}=\pi r(r+l)$$

Where:

$r$ is the radius of the base of the cone.

$l$ is the slant height of the cone.

$\pi$ (pi) is a mathematical constant approximately equal to $\frac{22}{7}$.

From the given problem, we have the following values:
- Radius, $r=59.5\text{cm}$
- Slant height, $l=85\text{cm}$

Substituting these values into the formula:

$$\text{TSA}=\frac{22}{7}\times 59.5\times (59.5+85)$$

First, calculate the sum inside the parentheses:

$$59.5+85=144.5$$

Now, substitute this value back into the equation:

$$\text{TSA}=\frac{22}{7}\times 59.5\times 144.5$$

Next, we divide 59.5 by 7:

$$\frac{59.5}{7}=8.5$$

This simplifies our expression to:

$$\text{TSA}=22\times 8.5\times 144.5$$

Now, perform the remaining multiplications step-by-step:

$$22\times 8.5=187$$

Multiply this result by 144.5:

$$\text{TSA}=187\times 144.5=27021.5$$

Therefore, the total surface area of the cone is 27,021.5 cm².