A cone has a volume of 100 cubic centimeters and a height of 12 centimeters. What is the radius of the base of the cone in centimeters?

Hi there!

The volume of a cone is as follows:

V = 1/3πr²h

We are given the volume and height, thus:

100π = 1/3πr²(12)

Begin by multiplying both sides by 3 (to cancel out the fraction):

300π = πr²(12)

Divide both sides by 12:

25π = πr²

Divide both sides by π:

25 = r²

Square root both sides:

5 = r

b 1: 45 am

step-by-step explanation:

its that because if it was in the pm it would be 1345

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1