A science museum has a spherical model of the earth with a diameter of 6.5 m. What is the volume of the model to the nearest cubic meter? Show your work.

v = 1/6 pi d^3

now just plug in your value for d.

is =143.7 correct?

Looks good to me. Except you were supposed to round to the nearest m^3, so that would be 144 m^3

yes, 143.8 m^3

To find the volume of a sphere, we can use the formula:

V = (4/3)πr^3,

where V is the volume and r is the radius of the sphere.

In this case, the diameter of the sphere is given as 6.5 meters. We need to find the radius of the sphere first.

The radius (r) is half the diameter, so we divide 6.5 by 2:

r = 6.5 / 2 = 3.25 meters.

Now, we can substitute the value of the radius into the formula:

V = (4/3)π(3.25^3),

V = (4/3)π(3.25 × 3.25 × 3.25),

V = (4/3)π(35.177),

V ≈ (4/3) × 3.14159 × 35.177,

V ≈ 147.218.

Thus, the volume of the model is approximately 147 cubic meters.