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What is the volume of a right cone whose base diameter is 28 cm and whose height is 45 cm? Round your answer to the nearest tenth.

Sagot :

ANSWER:

9231.6 cm³

STEP-BY-STEP EXPLANATION:

We know the diameter of the cone, the radius of the cone is half, therefore the radius would be equal to 14 cm (28/2).

The volume of the cone is calculated as follows:

[tex]V=\frac{1}{3}\pi\cdot r^2\cdot h[/tex]

we substitute each value and determine the volume, just like this:

[tex]\begin{gathered} V=\frac{1}{3}\cdot 3.14\cdot 14^2\cdot 45 \\ \\ V=9231.6\text{ cm}^3 \end{gathered}[/tex]

The volume of the cone is equal to 9231.6 cm³