please help!! Mary has a cone that has a radius of 5cm and height of 10cm. James has a pyramid with base length of 10cm and height of 5cm. Which solid has a larger volume?

The cone has a larger volume.

Step-by-step explanation:

The volume of a cone is given by:

Where:

r: is the radius = 5 cm

: is the height of the cone = 10 cm

Then, the volume of a cone is:

Now, the volume of a pyramid is:

Where:

: is the area of the base  

: is the height of the pyramid = 5 cm

The area of the base can be calculated as follows:

Hence, the volume of the pyramid is:

Therefore, the cone has a larger volume.

I hope it helps you!