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

Option B.
`11.78\ in^(3)`

Explanation:

we know that

The volume of a cone is equal to

`V=(1)/(3) \pi r^(2)h`

we have

`r=1.5\ in`

`h=5\ in`

substitute

`V=(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)`