how to calculate the total surface area of a cone with a radius of 3cm, height of 4 cm and a length of 5cm?

Cone can be defined as a three dimensional figure that consists of circular base and one vertex. Here we will see how to calculate the total surface area of a cone with a radius of 3cm, height of 4 cm and a length of 5cm. Formula to find the total surface area of cone is given as:

Total surface area of cone = pi * r² + 2 * pi * r * h + pi * r * l, here value of variable ‘r’ stands for radius, value of ‘l’ stands for length of a cone, value of ‘h’ stands for height and value of ‘pi’ is predefined. Value of ‘pi’ is always 3.14

Now using above formula we can easily find the total surface area of a cone. First of all write the given values.
Given radius = 3 cm, height = 4 cm and length = 5 cm.

Total surface area of a cone = pi * r² + 2 * pi * r * h + pi * r * l, we can also write this formula as:
Total surface area of a cone = pi (r² + 2 * r * h + r * l), now put given values in the formula to get the total surface area of a cone. On putting values in the formula we get:

Total surface area of a cone = pi (r² + 2 * r * h + r * l),
Total surface area of a cone = 3.14 (3² + 2 * 3 * 4 + 3 * 5), on moving further we get:
Total surface area of a cone = 3.14 (49).
Total surface area of a cone = 153.86 cm2. This is all about TSA of cone.