Andy and Maggie are sharing a rectangular pyramid shaped tent. The base of a rectangular pyramid is 5 feet by 4 feet. The height of the pyramid is 6 feet. If they divide the space inside the tent by 2, how many cubic feet does each person get?

C.) π(2ft)²(10ft) + one over three π(2ft)²(13ft − 10ft)

Step-by-step explanation:

We basically have here 2 volumes to calculate, the one of a cylinder (radius: 2 ft, height 10 ft) and one of a cone (radius 2ft, height 3 ft).

To calculate the volume of a cylinder, the formula is:

V = π r² h, which in our case is π(2ft)²(10ft)

To calculate the volume of a cone, the formula is:

V = (1/3) π r² h, which in our case is (1/3) π(2ft)²(13ft − 10ft)

So, to have the total volume, you need to add them together:

V = π(2ft)²(10ft) +  (1/3) π(2ft)²(13ft − 10ft)

Which is answer C (if we correct the exponents).