ericareed60
ericareed60 ericareed60
  • 19-12-2019
  • Mathematics
contestada

What is the volume of the composite figure? Express the answer in terms of π.

144π mm3
168π mm3
312π mm3
456π mm3

What is the volume of the composite figure Express the answer in terms of π 144π mm3 168π mm3 312π mm3 456π mm3 class=

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 19-12-2019

Answer:

312π mm³

Step-by-step explanation:

Given:

Oblique cone height, h = 14 mm

radius of half sphere = base radius of cone, r = 6 mm

Recall the volume of 1/2 - sphere

= 1/2 x volume of sphere

=  1/2 x (4π/3) r³

= 1/2 x (4π/3) (6)³

= 144π

Also volume of an oblique cone =

=volume of a right cone

= (π/3) r²h

= (π/3) 6²(14)

=168π

Volume of composite figure = 144π + 168π = 312π mm³

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adriancd1001 adriancd1001
  • 24-02-2020

Answer: c

Step-by-step explanation:

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