Question

the height of a cone is 3m and the diameter of its base is 8 find its slant height curved surface area total surface area volume​

Answer 1

Answer: slant height = 5 m ; Total Surface Area = 113.04 sq. m

Step-by-step explanation:

Let Radius = r = diameter / 2 = 8/2 = 4 m

Let Height = h = 3 m

Slant height = $\sqrt{r^{2} + h^{2}}$ (calculated using the Pythagoras theorem)

=> slang height ( l ) = $\sqrt{4^{2} + 3^{2}} = \sqrt{ 16 + 9} =\sqrt{25} = 5$

Thus, slant height = 5 m

Total surface area of a cone = π*r² + π*r*l (where r = radius, l = slant height)

TSA = (22/7) * { 4² + (4*5) } = (22/7) * (16 + 20) = 3.14 * 36 = 113.04 m²

Therefore, the total surface area of the cone = 113.04 m²

Please brainlist my answer, if helpful!

Answer 2

Answer:

Slant height of the cone =l=

=16+9

=25

=5 is the slant height of the cone

Step-by-step explanation: