Question

Could u tell me what to put in the boxes? And the convince me needs to be answered as well. thank you very much!

Answer 1

The radius, r, is half the diameter.

Given, diameter = 6, the radius will be 6/2 = 3

Putting this into the volume of a sphere formula, we get:

$\begin{gathered} V=\frac{4}{3}\pi r^3 \\ V=\frac{4}{3}\pi(3)^3 \end{gathered}$

First blank box >>> 3

Now,

We can find (4/3)π using 3.14 as π and (3)^3 is "27".

Thus,

$=(\frac{4}{3}\pi)(27)$

These are the second and third blanks.

Multiplying, we get:

V = 113.04 >>> this is the fourth blank

The volume of the golf ball is about 113.04 cm^3.

Convince Me

The volume of a cone is given by the formula

$V=\frac{1}{3}\pi r^2h$

If the radius is same as sphere, then it's "r".

The height of a sphere is twice radius, or, 2r. So, that's the height of the cone as well, thus we have:

$undefined$