ericanderson989 ericanderson989
  • 22-03-2021
  • Mathematics
contestada


The figure below is made with half of a cylinder topped with a right triangular prism.
4 ft
10 ft
3 ft
Which measure is closest to the volume of the figure?
1

The figure below is made with half of a cylinder topped with a right triangular prism 4 ft 10 ft 3 ft Which measure is closest to the volume of the figure 1 class=

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akposevictor
akposevictor akposevictor
  • 27-03-2021

Answer:

3. 261 ft³

Step-by-step explanation:

Volume of the figure = ½(volume of cylinder) + volume of triangular prism)

✔️Volume of cylinder = πr²h

r = 3 ft

h = 10 ft

Volume of cylinder = π*3²*10 = 282.74 ft³

✔️Volume of right triangular prism = ½*b*h*l

b = 3*2 = 6 ft

h = 4 ft

l = 10 ft

Volume of triangular prism = ½*6*4*10 = 120 ft³

✔️Plug in the values into the equation:

Volume of the figure = ½(282.74) + 120 = 261.37 ≈ 261 ft³

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