Question

Which solid has a greater volume?

Answer 1

Answer:

C

Step-by-step explanation:

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

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:

$\frac{1}{3}\pi r^2 h\\\frac{1}{3}\pi (5)^2 (6)\\=157.08$

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.