Respuesta :

The total surface area of the cone with the given radius and slant height in terms of pi is 70πcm².

What is a cone?

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The total surface area of a cone is given by its curved surface area plus area of its base.

Total surface area = curved surface area + area of base

Total surface area = πrl + πr²

Given that;

  • Radius r = 5cm
  • Slant height l = 9cm
  • Total surface area TSA = ?

Total surface area = πrl + πr²

Total surface area = ( π ×  5cm × 9cm ) + ( π × (5cm)² )

Total surface area = 45πcm² + 25πcm²

Total surface area = 70πcm²

Therefore, the total surface area of the cone with the given radius and slant height in terms of pi is 70πcm².

Learn about volume of cone here: brainly.com/question/1984638

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Answer:

70

Step-by-step explanation: