I think you are referring to this:
The volume of the sink shaped like a half sphere is [2000/3] π in^2.
A. The volume of a cylinder =area of the base * height
For this part the cup has a diameter, d, of 4 in and height, h, of 8 in.
[2000 / 3]π / [32π] = 20.83
Answer: 21 cups.
B. For this part the diameter of the cup is 8 in and the height is 8 in
And the number of cups needed is [2000π/3] / (128π) = 5.2
Answer: 5 cups
Step-by-step explanation:
Since we have a vertical major axis, our ellipse is vertical.
The equation of a vertical ellipse is

where
(h,k) is the center
a is the semi major axis,
b is the semi minor axis
First, let plug in our center

Semi means half, so
a is half of 14 which is 7
B is half of 8, which is 4.

Answer:
181.8 yd
Step-by-step explanation:
The law of cosines is good for this. It tells you for triangle sides 'a' and 'b' and included angle C, the length of 'c' is given by ...
c^2 = a^2 +b^2 -2ab·cos(C)
For the given geometry, this is ...
c^2 = 400^2 +240^2 -2(400)(240)cos(16°) ≈ 33,037.75
c ≈ √33037.75 ≈ 181.8 . . . yards
Marsha's ball is about 181.8 yards from the hole.
Answer:
Step-by-step explanation:
Answer:
3/5x = 15
multiply both sides by 5
This cancels out denominator of fraction =
3x = 75
x = 25