All categories

3 years ago

A block of ice weighs 12 tonne.

Mathematics

1 answer:

Ivan3 years ago

4 0

Answer:

81 cm is 0.81 metre

12 tonne is 12000 kg

Volume of a cube is a^3

V=0.531441

D=M/V

=12000/0.531441

Density is 22580.11708 kg per m cube

Step-by-step explanation:

You might be interested in

Does circumference divided by ratio equal to pi?

Harlamova29_29 [7]

Answer:

Yes circumference divided by ratio equals to pi

7 0

3 years ago

Read 2 more answers

A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the

Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= $\pi r^2h$

According to the problem,

$\pi r^2 h=25$

$\Rightarrow h=\frac{25}{\pi r^2}$

The surface area of the base of the can is = $\pi r^2$

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× $2\pi rh$ )

$=\$2.5 \pi r h$

Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

Putting $h=\frac{25}{\pi r^2}$

$\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}$

$\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}$

Differentiating with respect to r

$C'=4\pi r- \frac{62.5}{ r^2}$

Again differentiating with respect to r

$C''=4\pi + \frac{125}{ r^3}$

To find the minimize cost, we set C'=0

$4\pi r- \frac{62.5}{ r^2}=0$

$\Rightarrow 4\pi r=\frac{62.5}{ r^2}$

$\Rightarrow r^3=\frac{62.5}{ 4\pi}$

⇒r=1.71

Now,

$\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0$

When r=1.71 cm, the metal cost will be minimum.

Therefore,

$h=\frac{25}{\pi\times 1.71^2}$

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0

3 years ago

Drag the missing statements and reasons to the correct spot to complete the proof

morpeh [17]

Answer:

See attached

Step-by-step explanation:

Answer is attached

7 0

3 years ago

Mrs.smith earns $3500 a month. She saves $280 a month. Savings is what percent of her income?

arlik [135]

Answer:

3500 280

Step-by-step explanation:

280/3500

280 divided by 3500 times 100 (type this into a calculator)

its 8 her savings are 8 percent of her income

4 0

3 years ago

(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧PLEQASE HELP QUICK!!!! What is the exact volume of cylinder with a height of 40 inches and a radius of 16 inches ___

Delicious77 [7]

I can't resist helping someone with magic <span>(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

The formula for the volume of a cylinder is pi x r^2 x h.
That's 10240 x pi or 3</span><span>2169.91

</span>(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧ woosh you now have smol pener

5 0

4 years ago