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rjkz [21]
3 years ago
6

An artist created the sculpture shown with concrete. The radius of the bottom hemisphere is double that of the top hemisphere. F

ind the exact total volume of concrete used for the sculpture if R equals 12 feet.

Mathematics
1 answer:
klemol [59]3 years ago
5 0

<u>Answer:</u>

Vt = 4071.5 ft^3

<u>Step-by-step explanation:</u>

Givens:

  • R = 12
  • R = 2r => r = 6

Equations

  1. V = (4/3)(pi)r^3

Find: Vt (Total Volume)

Vt = (1/2)V1 + (1/2)(V2)

Vt = (1/2)(V1 + V2)                 <em>[Factor out (4/3) and (pi) from volumes]</em>

Vt = (1/2)(4/3)(pi)(R^3 + r^3)  <em>[Sub in Values]</em>

Vt = 4071.5 ft^3

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