dinohappyfriend
dinohappyfriend dinohappyfriend
  • 24-02-2020
  • Mathematics
contestada

What is the exact volume of the cone in terms of pi?
A) 5760 m
B) 41472 m
C) 23040 m
D) 3456 m

What is the exact volume of the cone in terms of pi A 5760 m B 41472 m C 23040 m D 3456 m class=

Respuesta :

Branta Branta
  • 24-02-2020

Answer:

D) 3456 m

Step-by-step explanation:

Diameter of the cone = 48 m

Hence radius of the cone = [tex]\[\frac{48}{2}\][/tex] = 24 m

Height of the cone = 18 m

Volume of a cone is given as [tex]\[\frac{1}{3}*pi*radius^{2}*height\] [/tex]

= [tex]\[\frac{1}{3}*pi*24^{2}*18\] [/tex]

= [tex]\[\frac{1}{3}*pi*10368\] [/tex]

= [tex]\[pi*3456\] [/tex]

Hence among the given options, option D is the correct one.

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