Write 6.7 multiple 10 in expanded form

This was the question it got deleted I just need 1,2,5

scoundrel [369]

Answer:

1. The volume of the cylinder is 263 $cm^{3}$ .

2. The volume of the cylinder is 12 $m^{3}$ .

3. The volume of the cylinder is 3165.1 $cm^{3}$ .

4. The radius of the cylinder is 3.6 cm.

5a. Area of the base is 50.2 $cm^{2}$ .

5b. The curved surface area of the pencil holder is 351.7 $cm^{2}$ .

5c. The surface are of the pencil holder is 452.2 $cm^{2}$ .

Step-by-step explanation:

1. The given shape is a cylinder, so that;

volume of a cylinder = $\pi$ $r^{2}$ h

= 3.14 x $(3.8)^{2}$ x 5.8

= 262.98128

The volume of the cylinder is 263 $cm^{3}$ .

2. This is also a cylinder, but with a given diameter.

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

= $\frac{1.2}{2}$ = 0.6 m

volume of a cylinder = $\pi$ $r^{2}$ h

= 3.14 x $(0.6)^{2}$ x 10.6

= 11.98224

The volume of the cylinder is 12 $m^{3}$ .

3. volume of a cylinder = $\pi$ $r^{2}$ h

= 3.14 x $6^{2}$ x 28

= 3165.12

The volume of the cylinder is 3165.1 $cm^{3}$ .

4. volume of a cylinder = $\pi$ $r^{2}$ h

239 = 3.14 x $r^{2}$ x 6

239 = 18.84 $r^{2}$

$r^{2}$ = $\frac{239}{18.84}$

= 12.6858

r = $\sqrt{12.6858}$

= 3.5617

The radius of the cylinder is 3.6 cm.

5. Area of the base = $\pi$ $r^{2}$

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

= $\frac{8}{2}$ = 4 cm

Area of the base = 3.14 x $4^{2}$

= 50.24

Area of the base is 50.2 $cm^{2}$ .

5b. Area of the curved surface of the pencil holder = 2 $\pi$ rh

= 2 x 3.14 x 4 x 14

= 351.68

The curved surface area of the pencil holder is 351.7 $cm^{2}$ .

5c. Surface area of the pencil holder = 2 $\pi$ rh + 2 $\pi$ $r^{2}$

= 2 $\pi$ r(h + r)

= 2 x 3.14 x 4 (14 + 4)

= 452.16

The surface are of the pencil holder is 452.2 $cm^{2}$ .

7 0

3 years ago

What is the slope of this line? It has the points of (-8,2) (0,2) and (7,2)

tresset_1 [31]

Answer:

Well the slope would be 0 because the y doesn't change. So if y is same it is 0, if x remains the same Slope is undefined, and then there is normal slope.

Step-by-step explanation:

3 0

3 years ago

A sample of 16 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is n

Olegator [25]

Answer:

i) $2 - 1.64 \frac{0.1}{\sqrt{16}}= 1.959$

$2 + 1.64 \frac{0.1}{\sqrt{16}}= 2.041$

So then the 90% confidence interval is given by (1.959, 2.041)

ii) Figure attached

iii) $ME= 1.64 *\frac{0.1}{\sqrt{16}}= 0.041$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The confidence interval is given by this formula:

$\bar X \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}}$ (1)

And for a 90% of confidence the significance is given by $\alpha=1-0.9=0.1$ , and $\frac{\alpha}{2}=0.05$ . Since we know the population standard deviation we can calculate the critical value $z_{0.05}= \pm 1.64$