Question

Calcule a área total e o volume de um cone de altura 4 cm e raio da base medindo 3 cm.

Answer 1

g²=r²+h²

g²= 3²+4²

g²= 9+16

g²= 25      g=√25            g=5

Al= πrg

Al= πx3x5          Al= 15π cm²

Ab= πr²

Ab= π3²    Ab= 9π cm²

At=Ab+Al

At= 9π+15π            At= 24π cm²

V= 1/3π r² h

V=1/3x 3,14 x 3² x 4

v=113,04/3

v=37,68 cm³

Answer 2

g^2 = r^2.h`2

g^2= 3^2.4^2
g^2= 9+16
g=√25
g= 5cm

Sl = π.r.g      Sl = 3,14 .3 .5 =  47,10cm^2

Sb = π .r^2   Sb = 3,14 . 3^2   Sb = 28,26

St = 47,10 + 28,26  =  75,36 cm^2

V = π .r^2 . h / 3

V = 3,14 . 9 . 4 / 3    

V = 37,68 cm^3