Answer:
Step-by-step explanation:
Volume of a right circular cone can be found using the equation
where
- r is the radius of the cone
- h is the height of the cone
- pi is the π constant
Since r=4ft, we can model the volume of the water in the cone in terms of the height as
=
Equation of the given line will be :
now, let's plug the value of x as the x - coordinate of the above point (-2 , 9) to check whether it lies on the line or not.
now, since value of isn't equal to the y - coordinate of the given point, so the point doesn't lies on the line.
Answer:
1.9 inches
Step-by-step explanation:
We need to utilise one important formula in this question which is the volume of a cylinder formula. We need to work out the height of the cylinder given the following information that the radius is 8 inches and the volume is 384 cubic inches. We can set up an equation to find the value of the height so,
→ π × r² × h = 384
⇒ Substitute in 8 for 'r'
→ π × 8² × h = 384
⇒ Simplify
→ π × 64 × h = 384
⇒ Divide both sides by 64 to isolate π and h
→ π × h = 6
⇒ Divide both sides by π to isolate 'h' and find the value of the height
→ h = 1.9098593171
The height of a cylinder with a volume of 384 cubic inches and a radius of 8 inches is 1.9 inches
on day one height=2cm
day 2 height = 4cm=2+2 cm
day 3 height =6 cm =4+2 cm
let height of plant after d days is given by H
so H = 2d cm
Answer:
Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin
Step-by-step explanation:
Given
x - y
5 - 10
10 - 20
15 - 30
Required
Determine if the data are proportional
The dataset is small; so, we can derive the relationship by observation.
By observing the x and y values, the relationship is:
y = 2x --- i.e. multiply x values by 2.
This is further proven by:
y = 2 * 5 = 10
y = 2 * 10 = 20
y = 2 * 15 = 30
y = 2 * 0 = 0 --- the origin
Hence, the dataset is proportional and it passes through the origin.
