The volume of a cone is given by the formula V = (1/3)r2h. A cone has a volume of 11,907 cm3 and a radius of 21 cm.
what would be the height of the cone.
Your formula is incorrect , should be
V = (1/3)π r^2 h
11907 = (1/3)π(21^2)h
h = 3(11907)/(441π) = 81/π or appr. 25.78 cm
To find the height of the cone, we can rearrange the formula for the volume of a cone and solve for h.
Given:
V = 11,907 cm^3
r = 21 cm
Substituting these values into the formula V = (1/3)r^2h, we have:
11,907 = (1/3)(21^2)h
To solve for h, we need to isolate it on one side of the equation. We can start by simplifying the equation:
11,907 = (1/3)(441)h
11,907 = 147h
Next, divide both sides by 147:
11,907 / 147 = h
80.918 = h
Therefore, the height of the cone is approximately 80.918 cm.