Question

The volume of a right cone is 245piπ unitscubed
3
. If its height is 15 units, find its radius.

Answer 1

To find the radius of the right cone, we can use the formula for the volume of a cone:

V = (1/3)πr^2h

Given that the volume (V) is 245π and the height (h) is 15 units, we can plug these values into the formula:

245π = (1/3)πr^2(15)

Now we can solve for the radius (r):

245π = 5πr^2

49 = r^2

r = √49

r = 7

Therefore, the radius of the right cone is 7 units.