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

Question

asked Mar 20, 2020 97.2k views

1 Answer

Kirill Chatrov · Answer 1 · 2020-03-26T02:53:11+0000

Answer:

C

Explanation:

The volume of a cone is given by
$V=(1)/(3)\pi r^2h$

The volume of a cylinder is given by
$V=\pi r^2 h$

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:

$(1)/(3)\pi r^2 h\\(1)/(3)\pi (5)^2 (6)\\=157.08$

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

$\pi r^2 h\\\pi (1)^2 (50)\\=157.08$

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