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? Explain.

A)Yes, Noah’s calculations are correct.
B)No, Noah did not simplify correctly.
C)No, Noah used the diameter instead of the radius in the calculations.
D)No, Noah did not use the correct formula for volume of a sphere.

Respuesta :

c is the answer, no noah used the diameter instaed of the radius in the calculations 

Noah used the diameter instead of the radius in the calculations and did not use the correct formula for the volume of a sphere option (C) and option (D) are correct.

What is a sphere?

It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.

We have the diameter of the sphere = 9 units

The radius of the sphere r = 4.5 units

We know the expression for the volume of a sphere is given by:

[tex]\rm V = \frac{4}{3} \pi r^3[/tex]

[tex]\rm V = \frac{4}{3} \pi (4.5)^3[/tex]

[tex]\rm V =27\pi[/tex] cubic units

Noah used the diameter instead of the radius in the calculations and Noah did not use the correct formula for the volume of a sphere.

Thus, Noah used the diameter instead of the radius in the calculations and did not use the correct formula for the volume of a sphere option (C) and option (D) are correct.

Learn more about the sphere here:

brainly.com/question/11374994

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