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3 years ago

Help with 4-9 please

Mathematics

1 answer:

Yuki888 [10]3 years ago

3 0

The answer is 5 because if you count it goes like this 123456789

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A hemispherical tank is filled with water and has a diameter of 6 feet. If water weighs 62.4 pounds per cubic foot, what is the

masha68 [24]

Answer:

The total weight of the water in a full tank, to the nearest pound is 3527 pounds per cubic foot

Step-by-step explanation:

Given:

Diameter of the hemispherical tank = 6 feet

Weight of water per cubic foot = 62. 4 pounds

To Find:

The total weight of the water in a full tank, to the nearest pound?

Solution:

We know that the volume of a sphere is:

$V =\frac{4}{3}\pi r^3$

where

r = is the radius

In the question we are given with diameter,

$radius = \frac{diameter}{2}$

radius = $\frac{6}{2}$

Radius = 3

We need the volume of the hemisphere

So the volume of the hemisphere will be half of the volume of teh sphere

$\frac{V}{2} = \frac{2}{3}\pi r^3$

Thus the volume of the hemisphere is

$V =\frac{2}{3} \pi r^3$

Now substituting the values

$V = \frac{2}{3} \pi(3)^3$

$V = \frac{2}{3}\pi(27)$

$V = \frac{54 \pi}{3}$

$V = \frac{169.56}{2}$

V= 56.52 cubic foot

Now, the total weight of water of:

W = 56.52 x 62.4

W= 3526.848 pounds per cubic foot

To the nearest pounds

W= 3527 pounds per cubic foot

5 0

3 years ago

Need help:( Please put explanation!

maxonik [38]

Answer:

$4x+8:\quad 4\left(x+2\right)$

$\:6x-3:\quad 3\left(2x-1\right)$

Step-by-step explanation:

$4x+8$

$\mathrm{Rewrite\:}8\mathrm{\:as\:}4\cdot \:2$

$=4x+4\cdot \:2$

$\mathrm{Factor\:out\:common\:term\:}4$

$=4\left(x+2\right)$

$6x-3$

$\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2$

$=3\cdot \:2x-3$

$\mathrm{Factor\:out\:common\:term\:}3$

$=3\left(2x-1\right)$

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3 years ago

The shapes of the horizontal cross-sections of the cone below are all

evablogger [386]

Answer:don't go by my answer random answer a i just need POINTS SORRY

Step-by-step explanation:

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convert the repeating decimal to an improper fraction or mixed number. Include your work in your final anwser 152

Nezavi [6.7K]

If you mean .152 bar as in .152152152.....then let x=.152 then:

1000x-x=152.152-.152

999x=152

x=152/999 (this cannot be reduced any further as they have no common primes)

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3 years ago

What is the square root of pi?

Kamila [148]

Well if u round the square root it's going to be 1.77

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