<span>You have:
- The diameter of the cylinder is 12 inches and its height is 14 inches.
-The height of the cone is 6 inches.
So, you must apply the formula for calculate the volume of the cylinder a the formula for calculate the volume of a cone.
V1=</span>πr²h
<span>
V1 is the volume of the cylinder.
r is the radius.
h is the height (h=14 inches)
The problem gives you the diameter, but you need the radius, so you have:
r=D/2
r=12 inches/2
r=6 inches
When you substitute the values into the formula, you obtain:
V1==</span>πr²h
V1=(3.14)(6 inches)²(14 inches)
V1=1582.56 inches³<span>
The volume of the cone is:
V2=(</span>πr²h)/3
<span>
V2 is the volume of the cone.
r is the radius (r=6 inches)
h is the height of the cone (h=6 inches).
Then, you have:
</span>
V2=(πr²h)/3
V2=(3.14)(6 inches)²(6 inches)/3
V2=226.08 inches³
<span>
Therefore, </span>the volume of the cake<span> (Vt) is:
Vt=V1+V2
Vt=</span>1582.56 inches³+226.08 inches³
<span> Vt=1808.6 inches</span>³
Answer:
The rate of change for the
X is +2
The rate of change for the
Y is + 0.5
Step-by-step explanation:
No need
Step 1:
In a sample of 380 randomly selected reservations, 19 were no-shows.
Step 2:
Proportion of no shows p<0.06.
Step 3:
Test Value
z(19/380)=0.05
Step 4:
Test statistics
a) 0.05-1.124=-1.074
b) 0.05-(-1.943) = 0.05+1.943=1.993
c)0.05-(-0.821)=0.05+0.821=0.871
d)0.05 - 0.222 = - 0.172
e)0.05 -(-1.571) = 0.05+1.571 = 1.621
The above data clearly mentions the test statistics associated with the given samples.
Answer:
simplify =36x−24y
factor =12(3x−2y)
Step-by-step explanation:
Let's simplify step-by-step.
4(5x−6y)+16x
Factor 4(5x−6y)+16x
36x−24y
The direction you are traveling to get back home is North