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The radius of a cone can be found using the formula r=3vπh−−−√, where v stands for the volume of the cone and h stands for the height. if r=3,h=8, and π is 3.14, find the volume (v). round the answer to the nearest hundredths place.

Respuesta :

pmgreer21
The bases of both the cylinder and the cone are circlesThe height of each solid is 6 metersThe radius of each base is 3 metersV stands for volumeB is the area of the baseh is the height of the solidThe volume of a cone is 1/3 of the volume of a cylinderThe area of a circle is always πr2π, or pi, is an irrational number that we can approximate to 3.14

Answer:

volume of a cone = 75.36

Step-by-step explanation:

The radius of a cone can be found using the formula

r= [tex]\sqrt{\frac{3v}{\pi*h}}[/tex]

where v stands for the volume of the cone and h stands for the height

To find volume of a cone we solve for v

Take square on both sides

r^2 = 3v/ pi*h

Multiply by pi *h on both sides and then divide by 3 on both sides

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

Given r=3  and h= 8 , π is 3.14

Plug in all the values and find volume

V= [tex]\frac{3.14*3^2 *8}{3}[/tex]

V= 75.36