Answer:
2094.4 cm³
Step-by-step explanation:
The volume of a cone =πr²h/3
Where
r = radius = Diameter/2
Diameter = 20cm, radius = 20cm/2 = 10cm
Height = 20cm
Volume of a cone = π × 10² × 20/3
Volume of a cone = 2094.3951 cm³
Approximately to the nearest tenth = 2094.4 cm³
Therefore , the volume of a cone = 2094.4 cm³
Answer:

Option D is the correct option.
Step-by-step explanation:

When there is a ( + ) in front of an expression in parentheses , there is no need to change the sign.
That means, the expression remains the same.
Just remove the unnecessary parentheses
⇒
Collect like terms and simplify
⇒
⇒
Hope I helped!
Best regards!!
Answer:
The point (56, 1.75) is on the line.
Step-by-step explanation:
Given two points, we can get the slope (m) as follows:
m = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are the points. Replacing with (8, 0.25) and (16, 0.5):
m = (0.5 - 0.25)/(16 - 8) = 0.03125
The point-slope form of a line is:
y - y1 = m(x - x1)
Replacing with data:
y - 0.25 = 0.03125(x - 8)
To know if point (56, 1.75) is on the line, we have to replace x = 56 in the obtained equation and check y-value, as follows:
y - 0.25 = 0.03125(56 - 8)
y - 0.25 = 1.5
y = 1.5 + 0.25 = 1.75
Then, the point is on the line. This means that there are 56 ounces in 1.75 quarts.
(2x^3+x+3)/(x+1)=2x^2-2x+3
For this case we have that the total of the balls is 86. We know there are 8 footballs then:
Basketball: Two more than twice the number of footballs are basketballs, that is:

There are 18 Basketballs.
Baseballs: Four less than 5 times the number of footballs are baseballs, that is:

There are 36 Baseballs.
Softballs: Six more than half of baseballs are softballs. That is to say:

There are 24 Softballs
If we add we must get 86.

ANswer:
There are 8 Footballs
There are 18 Basketballs.
There are 36 Baseballs.
There are 24 Softballs