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Alborosie
3 years ago
9

A King Size waterbed has the following dimensions 72 in. x 84 in. x 9.5in. It takes 240.7 gallons of water to fill it, which wou

ld weigh 2071 pounds. What is the weight of a cubic foot of water?
Mathematics
2 answers:
egoroff_w [7]3 years ago
5 0

Solution :

Given, A King Size waterbed has the following dimensions 72 in. x 84 in. x 9.5in. It takes 240.7 gallons of water to fill it, which would weigh 2071 pounds.

Volume of the King Size Waterbed, V = length X width X height

V= 72\:inch\times84\:inch\times9.5\:inch
\\\\V=57456\:cubic\: inch

We know that,

1 \:cubic\:inch=\frac{1}{1728} \:cubic\:foot\\\\
\Rightarrow57456 \:cubic\:inch=\frac{1}{1728} \times57456= 33.25\: cubic\:feet

Weight of  33.25 cubic foot water = 2071 pounds

Weight of  water in 1 cubic foot water = =\frac{2071}{33.25} =62.29\:pounds\:per\:cubic\:foot

Hence, Water weighs 62.29 pounds per cubic foot.


sineoko [7]3 years ago
4 0
One cubic foot weighs approximately 27.743 pounds
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dalvyx [7]

Answer:

4 pitchers

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

V=\pi r^{2}h

step 1

Find the volume of the cylinder  with height 9 inches and radius r

substitute the given values

V_1=\pi r^{2}(9)

V_1=9\pi r^{2}\ in^3

step 2

Find the volume of the cylinder  with height 9 inches and radius 2r

substitute the given values

V_2=\pi (2r)^{2}(9)

V_2=36\pi r^{2}\ in^3

step 3

we know that

The volume of the cylinder 1 can fill a certain pitcher,

so

The volume of the pitcher is the same that the volume of cylinder 1

therefore

the number of pitchers that can be filled by the second cylinder is equal to divide the volume of the second cylinder by the volume of the first cylinder

\frac{36\pi r^{2}}{9\pi r^{2}}=4\ pitchers

3 0
3 years ago
A fair dice is rolled 3 times in a row. The outcomes are shown below. Calculate the probability of all three events occurring. R
velikii [3]

Answer:

5/54

Step-by-step explanation:

probability of the dice being 5 = 1/6

probability of the dice being a factor of 6 = 4/6

probability of the dice being more than 1 = 5/6

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Answer: 20

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* just means multiply.. sooo the problem looks like this:

6x(12-7.5)-7

We’ll start at the parentheses :)

So (12-7.5) = 4.5

Now our problem looks like: 6x(4.5)-7

Following PEMDAS, the next thing to come up is multiplication! So we’re going to multiply 6 by 4.5 ...

6x4.5=27

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