The formula for the volume of a cone is v=1/3pir^2. find the radius to the nearest hundredth, of a cone with a hieght of 5 inches and a volume of 20inches^3.

The answer is 1.95 in

The volume (V) of the cone is:

V = 1/3 π r² h

r - radius

h - height

π = 3.14

It is given:

V = 20 in³

h = 5 in

r = ?

So, let's replace this in the formula for the volume of the cone:

20 = 1/3 π r² * 5

Multiply both sides of the equation by 3:

20 * 3 = 3 * 1/3 π r² * 5

60 = π r² * 5

⇒ r² = 60 / (π*5) = 60 / (3.14*5) = 60/15.7 = 3.82

⇒ r = √3.82 = 1.95 in

V = (1/3) * π*r²*h

substitute the values you know for the variables in the equation and solve for r.

20 = v

pi = 3.14

h = 5

20 = (1/3) * π*r²*5

solve for r