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

The cone has a larger volume.

Step-by-step explanation:

Volume of a cone = ⅓πr²h

where, radius = 5cm

height = 10cm

Volume = ⅓ × 3.142 × 5² × 10

Volume of cone = 261.83cm³

Volume of square pyramid = A(h/3)

where, A = 10 × 10 = 100cm²

Volume = 100 × (5/3)

Volume of square pyramid = 166.67cm³

Therefore, the cone has a larger volume.

step-by-step explanation: