The diameter of a cone-shaped container is 4 inches, and its height is 6 inches .How much grater is the volume of a cylinder-shaped container with the same diameter and height?

2 answers
Question:

the diameter of a cone-shaped container is 4 inches, and its height is 6 inches .How much grater is the volume of a cylinder-shaped container with the same diameter and height?

Answers

The radius r used in below equations would equal 2in because it is half the given diameter of 4in.The volume of the cone would be [tex]V = \frac{1}{3} \pi r^2h \\ \\ V = \frac{1}{3} \pi (2in)^2(6in) = 8 \pi\ in^3[/tex]The volume of a cylinder with the same dimensions would be[tex]V = \pi r^2h \\ V = \pi (2in)^2(6in) = 24 \pi in^3[/tex]The cylinder is 24 - 8 = 16 cubic inches greater.

Answer:The radius r used in below equations would equal 2in because it is half the given diameter of 4in.The volume of the cone would be The volume of a cylinder with the same dimensions would beThe cylinder is 24 - 8 = 16 cubic inches greater.Step-by-step explanation:

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