Answer:
4cm
Explanation:
given volume = 48πcm³
height = 9cm
r = ?
the formula for finding the volume of a cone = 1/3 πr²h
v = πr²h/3
make r" the subject of the formula
by cross multiplying,
3v = πr²h
divide both sides by πh
3v/πh =r²
r = √3v/πh
r= √3 × 48π/9π
π cancels π
r = √144/9
r = 12/3
r = 4cm
therefore the radius of the cone is 4cm