Question

please help!!

Answer 1

Answer:

The cone has a larger volume.

Step-by-step explanation:

The volume of a cone is given by:

$V_{c} = \frac{1}{3}\pi r^{2}h_{c}$

Where:

r: is the radius = 5 cm

$h_{c}$: is the height of the cone = 10 cm

Then, the volume of a cone is:

$V_{c} = \frac{1}{3}\pi (5 cm)^{2}*10 cm = 261.8 cm^{3}$

Now, the volume of a pyramid is:

$V_{p} = \frac{1}{3}A_{b}*h_{p}$

Where:

$A_{b}$: is the area of the base  

$h_{p}$: is the height of the pyramid = 5 cm

The area of the base can be calculated as follows:

$A_{b} = l^{2} = (10 cm)^{2} = 100 cm^{2}$

Hence, the volume of the pyramid is:

$V_{p} = \frac{1}{3}100 cm^{2}*5 cm = 166.7 cm^{3}$

Therefore, the cone has a larger volume.

I hope it helps you!