Can someone please help , I have no idea at all :((

100 POINTS!!!!!

Oksanka [162]

Answer:

a. Ratio of their circumference = 2:3

b. The ratio of their surface areas = 2:3

c. The ratio of their volume = 4:9

Step-by-step explanation:

Let the cylinders be labelled as A and B respectively.

Diameter of cylinder A = 6 in,

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

= $\frac{6}{2}$ = 3 in

Diameter of cylinder B = 9 in,

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

= $\frac{9}{2}$ = 4.5 in

Thus,

a. circumference of a circle = 2 $\pi$ r

Circumference of cylinder A = 2 $\pi$ r

= 2 x $\pi$ x 3

= 6 $\pi$ in

Circumference of cylinder B = 2 $\pi$ r

= 2 x $\pi$ x 4.5

= 9 $\pi$

Ratio of their circumference = $\frac{circumference of cylinder A}{circumference of cylinder B}$

= $\frac{6\pi }{9\pi }$

= 2:3

b. The surface area of a cylinder = 2 $\pi$ rh

the surface area of cylinder A = 2 $\pi$ rh

= 6 $\pi$ h

the surface area of cylinder B = 2 $\pi$ rh

= 9 $\pi$ h

The ratio of their surface areas = $\frac{surface area of cylinder A}{surface area of cylinder B}$

= $\frac{6\pi h}{9\pi h}$

= 2:3

c. Volume of a cylinder = $\pi$ $r^{2}$ h

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

= $\pi$ x $3^{2}$ x h

= 9 $\pi$ h

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

= $\pi$ x $4.5^{2}$ x h

= 20.25 $\pi$ h

The ratio of their volume = $\frac{volume of cylinder A}{volume of cylinder B}$

= $\frac{9\pi h}{20.25\pi h}$

= 4:9

6 0

3 years ago

How many ounces are in a square meter?

Karo-lina-s [1.5K]

3.007 ounces per square meter

8 0

3 years ago

Please help thank you

aivan3 [116]

Answer:

a = 4

b = 11

Step-by-step explanation:

To convert the recurring decimals into fraction we will follow the following process.

Given recurring decimal is 0.36363636....

Let x = 0.363636......... (1)

Multiply this decimal with 100.

100x = 36.36363636...........(2)

Now subtract expression (1) from expression (2)

100x = 36.363636.......

99x = 36

x = $\frac{36}{99}$

x = $\frac{4}{11}$

Since, $x=\frac{a}{b}=\frac{4}{11}$

a = 4 and b = 11 will be the answer.

4 0

3 years ago

The bike you have been saving for is discounted 20%. You have $400 saved to purchase it. The retail price of the bike is $450. T

Murrr4er [49]

Answer: You cannot buy it.

Step-by-step explanation:

$450 with a 20% percent discount would be $360

Add in a sales tax of 5.25%, and it amounts to $549 in total.

Since you only have $400, you cannot buy the bike.

3 0

4 years ago

Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed b

klemol [59]

Imagine right triangle PHF, where P - park, H - home and F - football field, then PH, PF are legs and HF is hypotenuse . Denote point L to be library. You know that point L lies on the segment FH and FL=8, LH=2. Also you know that PL is an altitude to the hypotenuse.

Use the property of altitude drawn from the vertex of right angle to the hypotenuse (the length of the altitude is geometrical mean between legs' projections onto hypotenuse):

$PL=\sqrt{HL\cdot LF},\\ PL=\sqrt{2\cdot 8}=\sqrt{16} =4$ mi.

This means that the distance between park and libriry is 4 miles.

Consider right triangle PLF ( angle L is right angle and PF - hypotenuse). By the Pythagorean theorem,

$PF^2=PL^2+LF^2,\\ PF^2=4^2+8^2,\\ PF^2=16+64=80,\\ PF=\sqrt{80} =4\sqrt{5}$ mi. The distance between park and football field is $4\sqrt{5}$ miles.

Answer: the distance between park and libriry is 4 miles and the distance between park and football field is $4\sqrt{5}$ miles.

6 0

3 years ago