PrincessNaya PrincessNaya
  • 30-03-2017
  • Mathematics
contestada

what is the volume of the cone?

A 72 pi cm^3
B 432 pi cm^3
C 288 pi cm^3
D 144 pi cm^3

what is the volume of the cone A 72 pi cm3 B 432 pi cm3 C 288 pi cm3 D 144 pi cm3 class=

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dexteright02
dexteright02 dexteright02
  • 30-03-2017
Data:
r (radius) = 6 cm
h (height) = 12 cm
V (volume)= ?

Formula:
[tex]V = \frac{ \pi * r^2 * h}{3} [/tex]

Solving:
[tex]V = \frac{ \pi * r^2 * h}{3} [/tex]
[tex]V = \frac{ \pi * 6^2 * 12}{3}[/tex]
[tex]V = \frac{ \pi *36*12}{3} [/tex]
[tex]V = \frac{432 \pi }{3} [/tex]
[tex]\boxed{\boxed{V = 144 \pi cm^3}}\end{array}}\qquad\quad\checkmark[/tex]

Answer:
D 144 pi cm^3
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