Answer:
A. 16.8 in³
B. 28.3 m³
C. 65.4 in³
Step-by-step explanation:
The volume of a cone is given as:
V = ⅓ * pi * r² * h
Where r = radius of base of cone
h = height of cone
A. Radius = 2 inches, height = 4 inches
It's volume is:
V = ⅓ * pi * 2² * 4
V = 16.8 in³
B. Diameter of 6 m, and a height of 3 m
It's diameter is 6 m, therefore, it's radius is:
r = d / 2 = 6 / 2 = 3 m
It's volume is:
V = ⅓ * pi * 3² * 3
V = 28.3 m³
C. Diameter of 5 in, and a height of 10 in
It's diameter is 5 in, therefore, it's radius is:
r = d / 2 = 5 / 2 = 2.5 m
It's volume is:
V = ⅓ * pi * 2.5² * 10
V = 65.4 in³
List all the multiples of the numbers:
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96
9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99
The least common multiple of 2, 5, 6, and 9 is 90.
Answer:
C is (-18, 24)
Scale factor 1 1/3
A is (9, - 4 1/2) *4 1/2 is also 4.5
Step-by-step explanation:
When we take a look at image B (-24, -12) and pre image B (-18, -9),
we can work out the scale factor by
(-24/-18) and (-12/-9) both equal 4/3
So using the scale factor to go from the pre image to the image,
We can find C coordinate by multiplying pre image C by the scale factor.
C is (-13.5 x 4/3) and (18 x 4/3)
C is (-18, 24)
The scale factor is 4/3, which is the mixed numeral of 1 1/3.
To find the pre image of point A we divide the image by the scale factor
A is (12/(4/3)) and (-6/(4/3))
A is (9, - 4 1/2)
Hope this helps,
Cate
