1 Answer

Tri Dawn · Answer 1 · 2023-03-14T04:41:36+0000

Answer:

A. The volume of the cone is about 2261.95 cubic centimeters less than the volume of the cylinder.

Step-by-step explanation:

Let's go ahead and determine the volume of each of the shapes.

The volume of a cone can be found using the below formula;

$V=\pi* r^2*(h)/(3)$

where r = radius = 6 cm

h = height = 12 cm

pi = 3.142

Let's input the above values into our formula and solve for V;

$\begin{gathered} V=3.142*6^2*(12)/(3) \\ V=3.142*36*4 \\ \therefore V=452.448\operatorname{cm} \end{gathered}$

The volume of a cylinder can be found using the below formula;

$V=\pi* r^2* h$

where pi = 3.142

r = radius = 12 cm

h = height = 6 cm

$\begin{gathered} V=3.142*12^2*6 \\ =3.142*144*6 \\ \therefore V=2714.688\operatorname{cm} \end{gathered}$

If we subtract the volume of the cone from that of the cylinder, we'll have;

$2714.688-452.448=2262.24\operatorname{cm}$

We can see that the volume of the cone is about 2,262 cubic centimeters less than the volume of the cylinder.

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