Which solid has a greater volume?


A. Figure A has a greater volume

B. Figure B has a greater volume

C. They are equal

D. It cannot be determined

Which solid has a greater volumeA Figure A has a greater volumeB Figure B has a greater volumeC They are equalD It cannot be determined class=

Respuesta :

Answer:

C

Step-by-step explanation:

The volume of a cone is given by  [tex]V=\frac{1}{3}\pi r^2h[/tex]

The volume of a cylinder is given by  [tex]V=\pi r^2 h[/tex]

Where h is the height and r is the radius

The first figure is a cone with height 6 and radius 5, we can put it into the formula and find the volume:

[tex]\frac{1}{3}\pi r^2 h\\\frac{1}{3}\pi (5)^2 (6)\\=157.08[/tex]

The second figure is a cylinder with height 50 and radius 1, we can put it into the formula and find the volume:

[tex]\pi r^2 h\\\pi (1)^2 (50)\\=157.08[/tex]

We can see that they are equal. So answer choice C is right.