Question

18)
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 = 1/3πr2h.)
A) 2 cm
B) 3 cm
C) 4 cm
D) 6 cm

Answer 1

Answer:

C) 4 cm

Step-by-step explanation:

we know that

The volume of the cone is given by the formula

$V=\frac{1}{3}\pi r^{2} h$

we have

$V=48\pi\ cm^3$

$h=9\ cm$

substitute the given values

$48\pi=\frac{1}{3}\pi r^{2} (9)$

simplify

$48=3r^2\\r^2=16\\r=4\ cm$