Answer:
A) The cone has a larger volume by 10.79 in3.
Step-by-step explanation:
Cone
height = 3 inches
radius = 4 inches
volume = 1/3 πr²h
volume = 1/3 × π × 4² × 3
volume = 1/3 × π × 16 × 3
volume = 1/3 × 22/7 × 48
volume = 1056 /21
volume = 50.2857142857 in³
volume = 50. 30 in³
pyramid
height = 3 inches
length of the square base = 2π
volume = 1/3 l²h
volume = 1/3 × (2π)² × 3
volume = 1/3 × 4 × 484/49 × 3
volume = 5808 /147
volume = 39.5102040816 in³
volume = 39.51 in³
Difference in volume = 50. 30 in³ - 39.51 in³ = 10.79 in³