jg200567
jg200567 jg200567
  • 17-03-2021
  • Mathematics
contestada

If XY is 4 m and WZ is 9 m, the exact volume of the cone is ___π square meters.

If XY is 4 m and WZ is 9 m the exact volume of the cone is π square meters class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 17-03-2021

Answer:

[tex] 48\pi \: {m}^{3} [/tex]

Step-by-step explanation:

Radius of the cone (r) = XY = 4 m

Height of the cone (h) = WZ = 9 m

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{ \cancel3} \pi {(4)}^{2}( \cancel9) \: \: \red{ \bold 3 }\\ \\= \pi \times 16 \times 3 \\ \\\purple {\bold {V_{cone} = 48\pi \: {m}^{3}}} [/tex]

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