Question

PLEASE HELP ME!!! I'M BAD AT GEOMETRY!!!

Answer 1

Answer:

Manuel would be correct, the volumes would be equal.

Step-by-step explanation:

The formulae for finding the volume of pyramids and cones both include dividing three (multiplying by $\frac{1}{3}$).

Square pyramid formula: $\frac{1}{3}$×B×h where B is the area of the base. By plugging in numbers we have that B=314.159 and h=5. 314.159×$\frac{1}{3}$×5=523.5983.

Cone formula: The basic formula is the same: $\frac{1}{3}$×B×h, but the area of the base is found using the circle formula of π×r². For the cone we have B=314.159 and h=5. 314.159×$\frac{1}{3}$×5=523.5983.

Since both of these formulas came up with the same answer, we can conclude that Cone W has the same volume as Pyramid X, which is Manuel's answer.