butterybro butterybro
  • 10-05-2024
  • Mathematics
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need help with this please. Find the volume of this composite figure. Leave the answer in terms of π.​

need help with this please Find the volume of this composite figure Leave the answer in terms of π class=

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moodini10101 moodini10101
  • 10-05-2024

Answer: 828π ft³

Step-by-step explanation:

There is a sphere and a cylinder

The volume of a sphere is 4/3πr³

The volume of a cylinder is πr²h

r would be 6ft since 12 ft is the diameter.

h would be 15ft, since that's the height of the cylinder

The sphere's volume is 4/3π(6)³

4/3π216

= 288π

The cylinder's volume is π(6)²(15)

π36·15

540π

Total Volume is the sphere + cylinder

288π + 540π = 828π ft³

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