Question

the height of a cone is 16cm and its base radius is 12cm . find the curved surface area and the total surface area of the cone use

pi = 3.14

Answer 1

see the image for the answer

Answer 2

Answer:

$CSA=753.6 cm^2$

$TSA=1205.76 cm^2$

Step-by-step explanation:

Given : The height of a cone is 16 cm and its base radius is 12 cm .

To find : The curved surface area and the total surface area of the cone?

Solution :

The radius of cone is r= 12 cm

The height of the cone is h=16 cm

l is the slant height

Formula to find slant height is $l^2=h^2+r^2$

$l^2=16^2+12^2$

$l^2=256+144$

$l=\sqrt{400}$

$l=20$

Now, The curved surface area of the cone is $CSA=\pi r l$

Substitute, $\pi =3.14 , r=12 cm, l=20 cm$

$CSA=(3.14)(12)(20)$

$CSA=753.6 cm^2$

The total surface area of the cone is $TSA=\pi r(r+l)$

Substitute, $\pi =3.14 , r=12 cm, l=20 cm$

$TSA=3.14\times 12(12+20)$

$TSA=3.14\times 12(32)$

$TSA=3.14\times 384$

$TSA=1205.76 cm^2$