MATHEMATICS MIDDLE SCHOOL

A 6cm section of plastic water pipe has inner diameter of 12cm and outer diameter of 15cm. find the volume of the plastic pipe not the hollow interior to the nearest hundredth

Answers

Answer 1

Answer:

Answer:

The volume of the plastic pipe is 141 cubic centimetre

Step-by-step explanation:

Given:

The Length of the plastic water pipe = 12 cm

The inner Diameter of the plastic water pipe = 12 cm

The outer Diameter of the plastic water pipe = 15 cm

To Find:

the volume of the plastic pipe not the hollow interior to the nearest hundredth = ?

Solution:

The volume of the plastic water pipe can be found by using the volume of the cylinder formula

The Volume of the cylinder = $\pi r^2 h$

Where

r is the radius

h is the height

Radius r $= (diameter)/(2) = (15)/(2) = 7.5 cm$

On substituting the values

The Volume of the cylinder

= $\pi (7.5) (6)$

= $45 \pi$

= 141.37 cubic centimetre

= 141 cubic centimetre

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How many cubes with the side lengths of 1/2 cm does it take to fill the prisim?

Answers

Answer:

Number of cubes that fills the prism=24

Step-by-step explanation:

The number of cube that completely fill the prism=Volume of Prism/Volume of cube with side 1/2 cm=0.5 cm

Volume of the prism= $Length*Width*Height$

$Length=2 cm\n\n Width=1 cm\n \n Height=3/2 cm = 1.5 cm$

Volume of Prism = $2*1*1.5$

$=3.0 cm^3$

Volume of the Cube:

$Side*Side*Side\n\n=0.5*0.5*0.5$

$= 0.125 cm^3$

Number of cubes that fills the prism:

$3.0/0.125\n\n=24 cubes$

So, the number of cubes that can fill the prism is '24'

Create a table for each set of values. Test each table for equivalent ratios to find which set of values describes the proportional relationship of the two quantities.17 ounces of nuts to 22.1 ounces of raisins
A) (5, 7)(60, 84)(47, 65.8)
B) (36, 48.6)(2, 2.7)(12, 16.2)
C) (3, 3.9)(65, 84.5)(24, 31.2)
D) (11, 13.2)(99, 118.8)(20, 24)

Answers

C) (3, 3.9)(65, 84.5)(24, 31.2)

Rewrite the expression by factoring out the GCF 36y to the second power + 54y Thanks a billion Brainly students !!! :D

Answers

$36y^2+54y=18y\cdot2y+18y\cdot3=18y(2y+3)$

While visiting Crimson Lake, Sally decided to go Kayaking. The rangers charge $8.50 per hour in addition to a $25.00 deposit to rent the kayak. If she rented the kayak from 11:30 a.m. to 2:30 p.m., write and solve a linear equation to find the total cost to rent the kayak.

Answers

Answer:

Equation: y=8.5h+25 Answer: $50.50

Step-by-step explanation:

h= amount of hours

y=total cost

y=8.5h+25

She rented for 3 hours

y=8.5(3)+25

y=25.5+25

y=50.5

What number goes into 51 and 9 evenly

Answers

The number that goes into 51 and 9 evenly is 3.

To find a number that goes into 51 and 9 evenly, we need to identify a common factor of both numbers. In this case, the number that evenly divides both 51 and 9 is 3.

When we divide 51 by 3, we get 17 with no remainder:

51 ÷ 3 = 17

Similarly, when we divide 9 by 3, we also get no remainder:

9 ÷ 3 = 3

Therefore, 3 is the number that goes into both 51 and 9 evenly.

To know more about number, refer here:

brainly.com/question/13207556

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3 will go into 51 and 9 evenly b\c you divide 51 into 9 and you get 17 then you divide 9 and 3 = 3

How to simplify 27/51