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Archy [21]
3 years ago
13

A rectangular has sides that measure 9 centimeters by 12 centimeters by 23 centimeters. Joan filled the container to its brim wi

th water. How much water must be pour out of the container so that only 2/3 of the volume of water is left in the container? Give your answer in milliliter a.
Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0
So you need to find the volume of the rectangular prism and the equation for that is V=l×w×h. If you plug those numbers in you'd get 9×12×23=2,484. If you multiply 2,484 by \frac{1}{3} because you'd have to pour out \frac{1}{3} of the water out so that it's only \frac{2}{3} of the volume of water is left. 2,484×\frac{1}{3}= 828mm.
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3 years ago
If the diameter of the circle below is 16 in., what is the area of the circle?
mote1985 [20]

Answer:

64π inches² (approximately 201.06 inches²)

Step-by-step explanation:

A=\pi r^2 where r is the radius

To find the radius, divide the diameter by 2

16 ÷ 2 = 8 inches

Plug in 8 as the radius

A=\pi (8)^2\\A=64\pi

A=201.06 (approximately)

Therefore, the area of the circle is 64π inches², or approximately 201.06 inches².

I hope this helps!

8 0
3 years ago
Read 2 more answers
Find the volume of the solid of revolution generated by revolving the region bounded by y = 2x^2, y = 0, and x = 2 about the x-a
Irina18 [472]

Answer:

128 \pi/5 units^3

Step-by-step explanation:

The volume of the solid revolution is expressed as;

V = \int\limits^2_0 {\pi y^2} \, dx

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y² = (2x²)²

y² = 4x⁴

Substitute into the formula

V = \int\limits^2_0 {4\pi x^4} \, dx\\V =4\pi \int\limits^2_0 { x^4} \, dx\\V = 4 \pi [\frac{x^5}{5} ]\\

Substituting the limits

V = 4 \pi ([\frac{2^5}{5}] - [\frac{0^5}{5}])\\V = 4 \pi ([\frac{32}{5}] - 0)\\V = 128 \pi/5 units^3

Hence the volume of the solid is 128 \pi/5 units^3

5 0
3 years ago
There are four cars entered into a pinewood derby race. in how many different orders can they cross the finish line, assuming th
artcher [175]

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3 years ago
What is the slope of a line passing through points (-7 , 5) and (5 , -3)
Alex17521 [72]
<h3>Answer:    -2/3</h3>

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

Work Shown:

Use the slope formula to get

m = (y2 - y1)/(x2 - x1)

m = (-3 - 5)/(5 - (-7))

m = (-3 - 5)/(5 + 7)

m = (-8)/(12)

m = -2/3

6 0
3 years ago
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