hannahwhite942
Answered

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Which solid has a greater volume? O A. Figure A 48 B. Figure B O C. they are equal A 2 O D. need more information​

Which Solid Has A Greater Volume O A Figure A 48 B Figure B O C They Are Equal A 2 O D Need More Information class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  B.  Figure B

Step-by-step explanation:

The figure is difficult to read. We assume the height of the pyramid is 9, and the radius of the cylinder is 1.

The pyramid volume is ...

  V = 1/3Bh

  V = 1/3(4²)(9) = 48 . . . cubic units

__

The cylinder volume is ...

  V = πr²h

  V = π(1²)(48) = 48π . . . cubic units

The cylinder has π times as much volume as the pyramid. Figure B is larger.

_____

Additional comment

If the diameter (not the radius) of the cylinder is 1 unit, then its volume is 12π cubic units and the pyramid has more volume.

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