Question

find the total surface area of cone whose radius is 5cm height is 12cm and slant height is 13cm​

Answer 1

Step-by-step explanation:

Surface Area Of A Cone

Cone is defined as a three-dimensional solid structure that has a circular base. A cone can be viewed as a set of non-congruent circular disks that are placed over one another such that the ratio of the radius of adjacent disks remains constant. Consider a cone as a triangle which is being rotated about one of its vertexes. Now, think of a scenario where we need to paint the faces of a conical flask. Before painting, we need to know the quantity that is required to paint all the walls. We need to know the area every face of the container to determine the quantity of paint required and this is known as the total surface area. The total surface area of a cone is the sum of areas of its faces. Let’s derive a general Cone formula to calculate the surface area of a cone.Total Surface Area of a Cone-

The Total surface area of a cone includes the curved surface as well as area of its base, which is given as-

Base Area = πr^2

Curved Surface Area = πrl

Thus the total surface area is given by-

πr^2+πrl=πr(r+l)

22/7×5^2+22/7+5^2×13=22/7×5(5+13)

=22/7×5×18

=22/7×90

=282.85714 is the answer