Question

A cone-shaped dispenser is filled with cereal. The cone has a radius of 1.5 inches and a height of 5 inches. Which measurement is closest to the volume of cereal that the cone-shaped dispenser holds?
Possible Answers:
A - 3.75
B - 11.78
C - 141.37
D - 47.12

Answer 1

Answer:

Option B. $11.78\ in^{3}$

Step-by-step explanation:

we know that

The volume of a cone is equal to

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

we have

$r=1.5\ in$

$h=5\ in$

substitute

$V=\frac{1}{3} \pi (1.5)^{2}(5)$

$V=3.75\pi\ in^{3}$

assume

$\pi =3.14$

$V=3.75(3.14)=11.78\ in^{3}$