Find the volume of the composite solid. Round your answer to the nearest hundredth.

Question

the composite solid consists of a cone inside a square prism with the height of 5.1m and length of 5.1m.

The volume is about ___ cubic meters.

Answer 1

Assuming that the cone is creating empty space inside the square prism, you'll need to find the volume of the prism & the cube, then subtract.

Or, if you set up the literal equation that models this situation and simplify it, then all you need to do is plug in the numbers in the correct places to find your result.

Prism: V=Lwh=L²h (because the base is a square)

Cone: V=πr²h/3

Combined: Prism-Cone = L²h-(πr²h)/3 = h[L²-(πr²)/3]

Remember, r=d/2!!