The radius of the base of a cone is 3 cm. If the volume of a cone is 24 pi centimeters cubed, find the height of the cone?
Vol(cone) = (1/3)π r^2 h
we know Vol and r
24π = (1/3)π(3^2) h
divide by π and multiply by 3
72 = 9h
h = 72/9 = ....
So this is for my 7th grade hw so ima trust u stranger *rawr* 😝✌🏼 Bye BYE! <3 :)
To find the height of the cone given the radius of its base and its volume, we can use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h,
where V is the volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the base, and h is the height of the cone.
In this case, we are given that the radius (r) is 3 cm and the volume (V) is 24π cm^3. We can substitute these values into the formula and solve for the height (h).
24π = (1/3) * π * (3 cm)^2 * h.
First, simplify the equation:
24 = (1/3) * 3^2 * h.
24 = (1/3) * 9 * h.
24 = 3 * h.
Divide both sides of the equation by 3:
8 = h.
Therefore, the height of the cone is 8 cm.