Respuesta :

Answer:

1) D

2) A

3) C

4) B

5) B

6) C

Step-by-step explanation:

1) V = Bh

V = πr² (h)

V = π (7²)(5)

V = 49π (5)

V = 245π

V ≈ 769.3

2) V = 1/3 Bh

V = 1/3 (12*12)(9)

V = 1/3 (144)(9)

V = 1/3 (1296)

V = 432

3) V = 4/3πr³

V = 4/3 π (4.5³)

V = 4/3 π (91.125)

V = 121.5π

V ≈ 381.51

4) 3 pairs of rectangles

2(16)(5) = 2(80) = 160

2(16)(11) = 2(176) = 352

2(11)(5) = 2(55) = 110

Add together 160 + 352 + 110

622

5) Two triangles 3 rectangles

Triangle

2(1/2)(18)(5) = 18*5 = 90

Rectangles

18*7 = 126

5*7 = 35

18.7*7 = 130.9

Add together 90 + 126 + 35 + 130.9 = 381.9

C) SA = πr² + πrl --> l is the slant height

SA = π (8²) + π (8)(17)

SA = 64π + 136π

SA = 200π

SA ≈ 628

DACBBC

Starting with 60, divide by 5 --> 12

add by 13 --> 25

multiply by 3 --> 75

subtract by 11 --> 64

cube root 64 --> 4

Multiply 60 --> 240

CODE: 240

The amount of three-dimensional space enclosed by a closed surface is known as volume. The code is 240.

What is volume?

The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity called volume.

1. The volume of a cylinder with a radius of 7 ft and a height of 5 ft is,

[tex]\rm \text{Volume of Cylinder} = \pi r^2 h = \pi \times 49 \times 5=769.7\ ft^3[/tex]

2. The Volume of the Pyramid with a side 12m, while the height is 9m is,

[tex]\rm \text{Volume of Pyramid} = \dfrac13 \times (\text{Area of square}) \times height = \dfrac13 \times 12^2 \times 9 = 432\ m^3[/tex]

3. The volume of the sphere with a diameter of 9 yds, can be written as,

[tex]\rm \text{Volume of sphere}=\dfrac{4}{3} \pi r^3=\dfrac43 \times \pi \times (\dfrac{9}{2})^3=381.7\ yd^3[/tex]

4. The surface area of the cuboid with a length of 16 cm, width of 5 cm, and height of 11 cm can be written as,

[tex]\rm \text{Surface area of Cuboid} = 2[(L\times W)+(W\times H)+(L\times H)][/tex]

[tex]\rm \text{Surface area of Cuboid} = 2[(16\times 5)+(5\times 11)+(16\times 11)] = 622\ cm^2[/tex]

5. The surface area of the given figure can be written as,

Surface Area of figure = 2(Area of the triangle) + Area of slant side + Area of rectangle +  Area of base

[tex]\rm \text{Surface Area of figure} = (\dfrac{2 \times 5 \times 18}{2}) + (18.7 \times 7)+(18 \times 7) + (5 \times 7) = 381.9\ in^2[/tex]

6. The surface area of a cone is given as,

[tex]\text{Surface Area of Cone}=\pi r(\sqrt{h^2+r^2})+\pi r^2[/tex]

The radius of the cylinder is 8 mm while the height is 15 mm, therefore, the surface area can be written as,

[tex]\rm\text{Surface Area of Cone}=\pi \times 8(\sqrt{15^2+8^2})+\pi \times 8^2 = 628.3\ mm^2[/tex]

Now, if we fill the results accordingly in fill in the blanks we will get,

Starting with 60, divide by 5

then add by 13

then multiply by 3

and subtract by 11

Now, cube root your result 64

Multiply the starting number60.

Thus, the code is 240.

Learn more about Volume:

https://brainly.com/question/13338592

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