Volume of Cone
Volume of the right circular cone is 248.7 m³
Step-by-step explanation:
A right circular cone is a three dimensional geometrical object. Right circular cone is a circular cone whose axis is perpendicular to its base. The slant height is the length of an element. All elements of a right circular cone are all equal.
The volume of the right circular cone is defined as 
where r is radius of the cone and h is the height of the cone
V = 
Given diameter d = 8.9 m
So the radius r = 8.9 ÷ 2 = 4.45 m
V = (1/3) × 3.14 × (4.45)² × 12
= (1/3) × 3.14 × 19.80 × 12
= 248.69 m³
Hence the Volume of the right circular cone is 248.7 m³
65/4 = (Decimal) 16.25 (Fraction) 16 1/4
The choice I prefer to use is fraction. It is easier to work with, in my opinion, when it comes to multiplying or dividing with other numbers/fractions.
Answer: (x, y) transforms into (-x, y)
Step-by-step explanation:
When we do a reflection over a given axis, the distance between the initial point to the axis must be the same as the distance of the reflected point to the axis.
So if we do a reflection over the y-axis, then the value of y must be fixed.
So if we start with the point (x, y), the only other point that is at the same distance from the y-axis is the point (-x, y)
So the rule is, the y value remains equal and the x changes of sign.
Answer:
Step-by-step explanation:
Slope of line passing through
and
is given by,
m = 
From the graph attached,
Slope of the line passing through (-3, 0) and (0, 5) = 
= 
Line passing through a point (h, k) and slope 'm' will be,
y - h = m(x - k)
Since, line passing through (11, 0) is parallel to the line given in the graph,
Slope of the parallel line will be same as 
Equation of a line passing through (11, 0) and slope = 
y - 0 = 
y =
Now satisfy this equation with the points given in the options,
Option (1)
For (1.67, -15.59),
-15.59 = 
-15.59 = -15.55
False.
Therefore, given point doesn't lie on the line.
Option (2)
For (-0.33, -13.59)
-13.59 = 
-13.59 = -18.88
False
Option (3)
For (0.67, -18.59),
-18.59 = 
-18.59 = 17.22
False
Option (4)
For (1.67, -15.59)
-15.59 = 
-15.59 = -15.55
False.
Therefore, none of the points given in the options are lying on the line.