Question

Find the volume of the composite solid (STEP BY STEP PLEASE) 25 POINTS

Answer 1

• 56π/3 m³ or 58.64 m³

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Find the sum of the volumes of the two given cones.

Cone volume:

• V = 1/3 πr²h

Cone 1, d = 4m, h = 8m:

• V = 1/3 π*(4/2)²*8 = 32π/3 m³

Cone 2, r = 2m, h = 6 m:

• V = 1/3 π*2²*6 = 8π m³

Total volume:

• V = 32π/3 + 8π = 56π/3 m³ = 58.64 m³ (rounded)