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emmasim [6.3K]
3 years ago
15

For the senior pic mr. Williams is using two cylinders to help keep the food cool the inside still there with the radius of 8 in

ches will be fill with potato salad the cylinder will be placed inside a cylinder of radius 10 inches the space between the two cylinders will be filled with a not a cooling solution the amount of cooling solution need to fill the empty spaces is ? And the height is 15 inches
Mathematics
1 answer:
Rasek [7]3 years ago
4 0
The answer is  1,695.6 in³.

The volume of the empty space is the difference of the bigger cylinder and the smaller cylinder: V = V1 - V2

The volume of the bigger cylinder is:
V1 = π r² h
r = 10 in
h = 15 in
π = 3.14

V1 = 3.14 * 10² * 15 = 4,710 in³


The volume of the smaller cylinder is:
V2 = π r² h
r = 8 in
h = 15 in
π = 3.14

V2 = 3.14 * 8² * 15 = 3,014.4 in³


The volume of the empty space is:
V = V1 - V2 = 4,710 in³ - 3,014.4 in³ = 1,695.6 in³
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Find the distance between the lines<br> Y=3x+10<br> Y=3x-20<br> AND <br> Y=3/2x+3/2<br> Y=3/2x-5
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========================================================

Part (1):
=======

<span>The distance between the lines
</span>
<span> Y₁ = 3x + 10    and       Y₂ = 3x - 20</span>
∴ m = 3  , c₁ = 10  and  c₂ = -20
∴ d = \frac{| 10 - (-20)|}{\sqrt{1 + 3^{2}}}= \framebox{9.5}

========================================================

Part (2):
=======

<span>The distance between the lines
</span>
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