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 form
ula V = 1 3 πr2h.) A) 2 cm B) 3 cm C) 4 cm D) 6 cm
1 answer:
Answer:
4cm
Step-by-step 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
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