Answer:
<u>A</u> and <u>C</u>
Step-by-step explanation:
A.¼×6766=1691.5
B.6×6766=40,596
C.½×6766=3383
D.1×6766=6766
The height of the cone is inches, if the cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.
Step-by-step explanation:
The given is,
A cylinder and a cone have the same volume
Cylinder has a radius 2 inches and height of 3 inches.
Cone has a radius of 3 inches
Step:1
For Cylinder'
Formula to calculate the volume of cylinder is,
..................................................(1)
where,
r - 2 inches
h - 3 inches
From the equation (1)
= × × 3
= 37.70
V = 37.70 cubic inches
Step:2
For cone,
Formula to calculate the volume of cone is,
..................................................(2)
From the statement,
cylinder and a cone have the same volume
=
37.70 = × ×
37.70 = 9.42478 × h
Height of the cone, h = 4 inches
Result:
Thus the height of the cone is 4 inches, if a cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.
Answer:
Principal = $1,000
Rate of interest = 14% = 0.14
Time = 3 years
A = Amount or future value
P = Principal
r = rate of interest in decimals
t = time
Substitute the values in the formula
Future Value is $1481.544
Compound interest = Amount - Principal = $1481.544- $1000 = $481.544
Formula of simple interest :
Substitute the values :
So, Simple interest = $420
Compound interest - Simple interest
= $481.544- $420
= $61.544
So, Compound Interest is $61.544 more than simple interest.
If the points are collinear, then that means they lie on the same line when connected to each other. In order to prove this, the distances between the points must sum up to the length of the line.
AB + BC = AC
7 + 4 ? 9
11 ≠ 9
Since they do not sum up, therefore, the points are not collinear.
Answer:
x=4 and y=(-6)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.