The approximate amount of water that remains in the tub after the 6 spherical balls are placed in the tub are 3479.12 in³.
<h3>What is the approximate amount of water that remains in the tub?</h3>
The first step is to determine the volume of the cylinder.
Volume of the tub = πr²h
Where:
- r = radius = diameter / 2 = 18/2 = 9 inches
- h = height
- π = 3.14
3.14 x 9² x 20 = 5086.8 in³
The second step is to determine the volume of the 6 balls.
Volume of a sphere= 4/3πr³
r = diameter / 2 = 8/2 = 4 inches
6 x (3.14 x 4/3 x 4³) = 1607.68 in³
Volume that remains in the tub = 5086.8 in³ - 1607.68 in³ = 3479.12 in³
To learn more about the volume of a sphere, please check: brainly.com/question/13705125
#SPJ1
Right change flip it's simple
1. Use a straightedge to draw line m and label a point on the line as point F
2. Construct a line perpendicular to line m through point F. Label a point on this line as point G.
3. With the compass open to the desired side length of the square, place the compass point on point F and draw an arc on line m and an arc on FG←→ . Label the points of intersection as points H and K.
4. Without changing the compass width, place the compass point on point H and draw an arc in the interior of ∠HFK.
5. Keeping the same compass width, place the compass on point K and draw an arc in the interior of ∠HFK to intersect the previously drawn arc. Label the point of intersection as point J.
6. Use the straightedge to draw JH¯¯¯¯¯ and JK¯¯¯¯¯.
-2 is greater because, when graphed on a number line, a greater number should be closer or past 0
-10 is the furthest away from 0, therefore meaning that -2 is greater
Answer:
The price of having her car detailed before tax = $55
Step-by-step explanation:
She pays the cashier with a $100 bill and gets $40.60 in change.
She paid = $100 - $40.60
= $59.40
Sales tax = 8%
what was the price of having her car detailed before tax?
Let x= price of having her car detailed before tax
8% of x + x = $59.40
(0.08 * x) + x = $59.40
0.08x + x = 59.40
1.08x = 59.40
Divide both sides by 1.08
x = 59.40 / 1.08
x = $55
Therefore, the price of having her car detailed before tax is $55
Check:
8% of $55
= 0.08*55
= $4.40
Tax + price before tax
$4.40 + $55
= $59.40
