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makkiz [27]
3 years ago
12

Find the volume of this solid​

Mathematics
1 answer:
Vlada [557]3 years ago
4 0

Answer:

2,111.15 cm³

Step-by-step explanation:

The solid is made up of 2 cones.

Volume of the solid = volume of cone of the two cones

✔️Volume of cone 1 = ⅓πr²h

r = ½ of 24 = 12 cm

h = √(13² - 12²) = 5 cm

Volume of cone 1 = ⅓×π×12²×5 = 753.98 cm³

✔️Volume of cone 2 = ⅓πr²h

r = ½ of 24 = 12 cm

h = √(15² - 12²) = 9 cm

Volume of cone 1 = ⅓×π×12²×9 = 1,357.17 cm³

✔️Volume of the solid = 753.98 + 1,357.17 = 2,111.15 cm³

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Bad White [126]

question:

How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 ​ cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism? ​

Step-by-step explanation:

81 cubes are needed to fill the prism

Step-by-step explanation:

Volume of prism = 3 cubic units

Side lengths of cube = 1/3

Therefore the volume of the cube is,

V = a³   (a = side of the cube)

V = 1/3 × 1/3 × 1/3

= ( 1/3 )³  

= 1/27 cubic units

To find the number of cubes needed to fill the prism, we need to divide the volume of cube by volume of the prism.

Number of cubes to fill the prism= Volume of prism / Volume of cube

= 3÷1/27

=3×27/1

= 81

Therefore, 81 cubes are needed to fill the prism

5 0
3 years ago
Plz help I need this by tonight
miv72 [106K]

Answer:

it will take him 12 days to exercise for 576 minutes

Step-by-step explanation:

48x12=576

5 0
3 years ago
The eastern continental trail is 15 times longer than the Erie canal way trail. The combined length of the hiking trails is 5,76
Lena [83]

The length of eastern continental trail is 5400 miles and length of erie canal trail is 360 miles.

Step-by-step explanation:

Given,

Combined length of both trails = 5760 miles

Let,

x be the length of eatern continental trail.

y be the length of Erie canal trail.

According to given statement;

x+y=5760     Eqn 1

x = 15y          Eqn 2

Putting value of x from Eqn 2 in Eqn 1

15y+y=5760\\16y=5760

Dividing both sides by 16

\frac{16y}{16}=\frac{5760}{16}\\y=360\\

Putting y=360 in Eqn 2

x=15(360)\\x=5400

The length of eastern continental trail is 5400 miles and length of erie canal trail is 360 miles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/11145277
  • brainly.com/question/11150876

#LearnwithBrainly

6 0
3 years ago
If there are 36 performers in a dance recital. The ratio of men to women is 2:7. How many men are in the dance recital ?
MrRissso [65]
\frac{m}{w}= \frac{2}{7} \\ \\ \frac{m}{2}=\frac{w}{7}=k \\ \\ m=2k\\ w=7k \\ \\ m+w=36 \\ 2k+7k=36 \\ 9k=36 \\ \\ \boxed{k=\frac{36}{9}=4} \\ \\ m=2*4=8 \ men \\ \\ w=7*4=28 \ women
6 0
3 years ago
-3 - 6(4x+6) = -11<br> What is x?
Thepotemich [5.8K]

Answer:

x=-7/6

alternate form-x=-1 1/6

3 0
3 years ago
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