Question

A cone with a height of 9 cm has a volume of 48π cm3. What is the radius of the cone? (The volume of a cone is given by the formula V = 1 3 πr2h.) A) 2 cm B) 3 cm C) 4 cm D) 6 cm

Answer 1

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