Question

find the TSA of a cone whose radius is 8 cm​

Answer 1

Answer:

The total surface area of the cone is 301.44 cm^2.

Given:

Height of a cone= 8cm

Radius of a cone= 6cm

As we know, total surface area of a cone(T.S.A) = πrl+πr^2, where r is the radius, l is the slant height of the cone

Now to find the slant height of cone:

Lateral height=√[ Height^2 + Radius^2]

Lateral height= √[ 8^2 + 6^2] = 10 cm

Therefore, T.S.A = πrl+πr^2

So, T.S.A = π*6*10 +π*6^2

= π( 60+36)

= π ( 96 ) = 301.44cm^2

Step-by-step explanation: