Question

MEDAL! Just check this....

Answer 1

PROBLEM:
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.

Use π = 3.14.

What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.

MY ANSWER:
Volume of the cylinder: 3.14 x r^2 x 3 = 150.72

Volume of cone: 1/3 x 3.14 x 4^2 x 3 = 50.24

We know that the volume of the cone is 1/3 of the volume of the cylinder, having the same base area and height. This means that with equal height and equal radius, a cylinder will have 3 times the volume of a cone.

Answer 2

I believe you are right

Answer 3

Hm....

I agree with volume of a cylinder but not cone. Remember that the height of the two is different. `"The height of the CYLINDER is 3 inches. The height of the CONE is 18 inches."`

\(\huge\bf{V=\frac{1}{3}(3.14)4^{2}(18)}\)

Simplify parenthesis.

\(\huge\bf{V=\frac{904.32}{3}}\)

\(\huge\bf\color{red}{V=301.44}\)

This is the volume of the Cone.

Answer 4

oh ok @563blackghost so....

Volume of the cylinder: 3.14 x r^2 x 3 = 150.72

Volume of cone: 1/3 x 3.14 x 4^2 x 3 = 301.44

We know that the volume of the cylinder is 1/2 of the volume of the cone, having the same diameter, but different height. This means that with equal height and equal radius/diameter, the cone will have 2 times the volume of the cylinder.