Find the volume of a cone with diameter of
9
9 feet and a height of
48
48 feet. Use 3.14 for π.
First, we need to find the radius of the cone since the diameter is given. The radius is half of the diameter, so it is
9
÷
2
=
4.5
feet.
Next, we can calculate the volume of the cone using the formula
V
o
l
u
m
e
=
(
1
/
3
)
π
r
2
h
.
Substitute in the values we have:
V
o
l
u
m
e
=
(
1
/
3
)
×
3.14
×
(
4.5
)
2
×
48
.
This simplifies to:
V
o
l
u
m
e
=
(
1
/
3
)
×
3.14
×
20.25
×
48
=
1.047
×
20.25
×
48
=
1010.42
feet
3
.
Therefore, the volume of the cone is
1010.42
feet
3
.