The total weight of the liquid that filled the hemispheric tank to the nearest full pounds is 66775 pounds.
<h3>What is the volume of an hemisphere?</h3>
An hemisphere is half of a sphere. Therefore,
volume = 2 / 3 πr³
where,
Therefore,
r = 7 feet
volume = 2 / 3 × 3.14 × 7³
volume = 2 / 3 × 3.14 × 343
volume = 2154.04 / 3
volume = 718.013333333
volume = 718.013
Therefore,
density = mass / volume
93 = mass / 718.013
mass = 718.013 × 93
mass = 66775.24
mass ≈ 66775 pounds
learn more on hemisphere here: brainly.com/question/14527816
Answer:
x = 35
Step-by-step explanation:
Since they are vertical angles, the angles are congruent and therefore you can set them equal to each other.
4x + 20 = 3x + 55
Have x on one side of the equation by subtracting 3x from both sides.
x + 20 = 55
Subtract 20 from both sides of the equation.
x = 35
Answer:
$2.75 = cost of a hot dog
$4.50 = cost of a cheeseburger
Step-by-step explanation:
Let x = cost of a hot dog
y = cost of a cheeseburger
(1) 2x + 4y = 23.5 (2) 5x + y = 18.25
y = 18.25 - 5x
2x +4(18.25 - 5x) = 23.5
2x + 73 - 20x = 23.5
-18x + 73 = 23.5
-18x = -49.5
x = 2.75 y = 18.25 - 5(2.75)
y = 18.25 - 13.75
y = 4.50
$2.75 = cost of a hot dog
$4.50 = cost of a cheeseburger
Area of a circle = pi x r^2
200.96 = pi x r^2
200.96 = 3.14 x r^2
r^2 = 64
r = 8 inches
Hope this helps!! :)