Question

Calcule o volume de cada um dos troncos de

cones cujas medidas estão indicadas nas figuras

acima

ME AJUDEM PFR​

Answer 1

Explicação passo-a-passo:

a) V= (R²+Rr+r²)(πh)/3

V= (1,7²+ 1,7.1+ 1²). (π.1,5)/3

V= (2,89 +1,7+1).1,5π/3

V= 5,59. 1,5π/3

V= 8,385π/3

V= 2,795π cm³

b) V= (6²+6.2+2²).12π/3

V= (36+12+4).4π

V= 52.4π

V= 208π cm³

Answer 2

De forma simples, podemos aplicar a formula para o volume do tronco de cone.

$V_{_{Tronco~Cone}}~=~\frac{\pi.h}{3}~.~\left(R^2+R.r+r^2\right)$

a)

$V~=~\frac{\pi.1,5}{3}~.~\left(1,7^2+1,7~.~1+1^2\right)\\\\\\V~=~\frac{\pi}{2}~.~\left(2,89+1,7+1\right)\\\\\\V~=~\frac{\pi}{2}~.~5,59\\\\\\\boxed{V~=~2,795\pi~cm^3}$

b)

$V~=~\frac{\pi~.~12}{3}~.~\left(6^2+6~.~2+2^2\right)\\\\\\V~=~\pi~.~4~.~\left(36+12+4\right)\\\\\\V~=~4\pi~.~52\\\\\\\boxed{V~=~208\pi~cm^3}$