Using 3.14 for PI.
The radius of a ball and the can is half the diameter = 1.25
The height of the can is the height of 3 diameters = 7.5
Volume of one tennis ball:
4/3 x PI x 1.25^3 = 8.18 cubic inches.
Volume of 3 tennis balls: 3 x 8.18 = 24.54 cubic inches.
Volume of can:
PI x 1.25^2 x 7.5 = 36.80 cubic inches.
Space = 36.80 - 24.54 = 12.26 cubic inches.
The area formula of a circle is 
× π.
With that being said, we can solve both problems!
Starting with part A:
-The radius we know is 21cm. From there, we can substitute in our formula with the new value.
x π
From there, we can square our radius:
(21 x 21) x π
(441) x π
And finally, we can multiply by pi to get our answer.
(441) x π
1385.44236023
Which rounded to the nearest tenth is 1385.4. Therefore, the area of the porthole is 1385.4 centimetres.
The second part can be followed with the same process, hopefully you understand the concept enough to where you're comfortable solving problems like this on your own. Feel free to reach out if you have any further trouble!
<em>Hope this helped! :)</em>
Maximum profit due to the feasibility graph....we take where the two lines cross...(6,5). These figures are substituted into the equation and the result is the max profit...
p = 3x + 2y
p = 3(6) + 2(5)
p = 18 + 10
p = 28
10,000 - (1/2 x 10,000) - (1/4 x 10,000) - (1/10 x 10,000) = 10,000 - 5,000 - 2,500 - 1,000 = 1,500
$1,500 is being spent on staffing for the party.
<span>A) 3x+4y=17
B) -4x-3y=-18 Multiplying B) by .75
</span><span>B) -3x -2.25y= -13.5 then adding this to A
</span><span><span>A) 3x + 4y = 17</span>
1.75y = 3.5
y = 2
</span><span>
A) 3x + 4*2 = 17</span>
3x + 8 = 17
3x = 9
x = 3
(3,2)
