Mathematics: Achemist measures the mass of a substance before transferring it to a microscope slide. which measure is most likely the measure she recorded? 5 g 5 kg 4.56 mg 4.56 kg

Achemist measures the mass of a substance before

Ответ:

angelyce4142

18.01.2020

Dimensions of cylinder must be multiplied by a factor of $\frac {1} {3}$ , to give a similar cylinder and reduce the volume by 208 cm^3 .

Step-by-step explanation:

Here we have , A cylinder has a volume of 216 cm^3 . By what factor must the dimension of the cylinder be multiplied to give a similar cylinder and reduce the volume by 208 cm^3 . Let's find out:

We know that Volume of cylinder = $\pi r^2h$

Now , Similar cylinder means dimensions are in same ratio . According to question initial volume is 216 cm^3 i.e.

⇒ $V =216 = \pi r^2h$

Now , the volume is reduced by 208 cm^3 , So new volume is :

⇒ V_1=216-208

⇒ $V_1=8=\pi r_1^2h_1$

Here , $\frac{V}{V_1} = \frac{r^2h}{r_1^2h_1}$

⇒ $\frac{216}{8} = \frac{r^2h}{r_1^2h_1}$

⇒ $27= \frac{r^2h}{r_1^2h_1}$

⇒ $r_1^2h_1= \frac{r^2h}{27}$

⇒ $r_1^2h_1= (\frac{r}{3})^2\frac{h}{3}$

Therefore , Dimensions of cylinder must be multiplied by a factor of $\frac {1} {3}$ , to give a similar cylinder and reduce the volume by 208 cm^3

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Achemist measures the mass of a substance before transferring it to a microscope slide.
which measure is most likely the measure she recorded?
5 g
5 kg
4.56 mg
4.56 kg

Ответ:

Ответ:

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