Question

Find curved and total surface area of a conical flask of radius 6 cm and height 8 cm

Answer 1

i hope this will help you

Answer 2

Concept:

A cone is a solid three-dimensional geometric object with a circular base and a pointed apex at the top. A cone is made up of one face and one vertex.

Given:

The radius of the conical flask = 6 cm.

The height of the conical flask = 8 cm.

Find:

The curved surface area and total surface area of the conical flask.

Solution:

Slant height l = $\sqrt{r^{2}+ h^{2}}$

                       $=\sqrt{(6)^2 +(8)^2} \\=\sqrt{36+64}\\=10$

Curved surface area = $\pi rl$

                                    = $\frac{22}{7}*6*10$

                                    = 188.57 cm².

Total surface area = curved surface area + base area (circle)

                               = 188.57 + $\frac{22}{7}*6*6$

                               = 188.57+ 113.14

                               = 301.57 cm².

Hence, the curved surface area is 188.57 cm² and the total surface area is 301.57 cm².