A cone shaped vase has a radius of 10cm and a height of 32cm. Which measurement is the closest to the volume of the vase? Use 3.14 as \pi

Accepted Solution

The volume of a cone refers to the number of cubic units that will exactly fill a cone. The volume of a cone can be found or calculate by using the formula [tex]V= \frac{1}{3} \pi r^{2} h [/tex], where r represents the radius of the figure.

In this exercise is given that a cone shaped vase has a radius of 10 centimeters and a height is 32 centimeters, and it is asked to find its volume. In order to find the volume of the given cone, you should substitute the values for the radius and height into the previous mention formula.

[tex]V= \frac{1}{3} \pi r^{2} h[/tex]
[tex]V= \frac{1}{3}(3.14)(10cm)^{2}(32 cm)[/tex]
[tex]V= \frac{1}{3}(3.14)(100cm^{2})(32 cm)[/tex]
[tex]V= \frac{1}{3}(3.14)(3200cm^{3})[/tex]
[tex]V=3349.33cm^{3} [/tex]

The volume of the vase is 3349.33 cubic centimeters.