Answer:
No, Noah used the diameter instead of the radius in the calculations.
V = 91.13π
Step-by-step explanation:
Noah is working on a geometry problem that involves finding the volume of a sphere with a diameter of 9 units. His work is shown below.
V = πr3
V = π(9)3
V = π(729)
V = 972π cubic units
Is Noah’s work correct
Volume of a sphere, V = πr³
radius, r = diameter / 2
Diameter = 9 units
r = 9 / 2
= 4.5 units
Volume of a sphere, V = πr³
= π × 4.5³
= π × 91.125
= 91.125π
Approximately 91.13π
V = 91.13π
No, Noah used the diameter instead of the radius in the calculations.
