Question

le - My Activity Log In to Canvas Dashboard Dashboard New Craft boxes are sold in containers shaped like a cone or a cylinder. The dimensions are en in the drawing h statement about the volumes of the cylinder and cone is true? The volume of the cone is about 2.261.95 cubic centimeters less than the volume of the cylinder. The volume of the cylinder is congruent to the volume of the cone. The volume of the cone is about 2,261.95 cubic centimeters greater than the volume of the cylinder. The volume of the cylinder is about 2,261.95 cubic centimeters less than the volume of the cone.

Answer 1

Answer:

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

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;

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

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;

$\begin{gathered} V=3.142\times6^2\times\frac{12}{3} \\ V=3.142\times36\times4 \\ \therefore V=452.448\operatorname{cm} \end{gathered}$

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

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

where pi = 3.142

r = radius = 12 cm

h = height = 6 cm

$\begin{gathered} V=3.142\times12^2\times6 \\ =3.142\times144\times6 \\ \therefore V=2714.688\operatorname{cm} \end{gathered}$

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.