Answer:
180.6 cubic inches. (Nearest tenth is the same as 1 decimal place)
Step-by-step explanation:
The volume of a cylinder formula is:
V
=
π
r
2
h
The diameter is
10
inches, well half of the diameter is
5
inches which is the radius. Radius is half of the diameter.
If you want the diameter back, just double it.
5
+
5
=
10
.
So we can now plug the numbers into the formula.
V
=
π
(
5
2
)
(
2.3
)
V
=
π
(
25
)
(
2.3
)
(5 Squared =25)
V
=
57.5
π
But if you didn't want it in terms of
π
, so you multiply:
57.5
×
3.14
=180.55
but rounding that to the nearest tenth is the same as rounding to
1 decimal place so you get
180.6 cubic inches.
Answer:
$7803.72
Step-by-step explanation:
We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.
First of all, we will find the volume of silo using volume of cone formula.
, where,
r = radius
h = Height
We know that radius is half the diameter, so radius of silo would be
.





Now we will multiply total volume by $414 to find total cost.\



Therefore, it will cost $7803.72 to fill the silo with soybeans.
Answer:
B) 1.4
Step-by-step explanation:
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin(B)=opp/hyp
Answer:
$3098.93
Step-by-step explanation:
We can use the formula for compound growth to solve this. The formula is:

Where
F is the future value (the value at end of 14 years, our answer)
P is the initial amount invested ($1250)
r is the interest rate, in decimal (6.7% is 0.067)
t is the time in years (14, in our case)
<em>Plugging in all the information</em> we have:

The account will accrue $3098.93 after 14 years.