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otez555 [7]
2 years ago
14

The volume of this CONE is 175π cubic units.

Mathematics
1 answer:
yulyashka [42]2 years ago
6 0

Answer:

1649.33 units³

Step-by-step explanation:

Let the height and the radius be known as "h" and "r" respectively.

<u>Formulae(s):</u>

  • Volume of cylinder: πr²h
  • Volume of cone: πr²h/3

Clearly, we can see that the volume of the cylinder is three times greater than the volume of the cone as,

  • ⇒ πr²h = 3(πr²h/3)
  • ⇒ πr²h = πr²h (True)

<u>Determining the volume of the cylinder;</u>

  • ⇒ Volume of cylinder = Volume of cone × 3
  • ⇒ Volume of cylinder = 175π × 3
  • ⇒ Volume of cylinder = 525π
  • ⇒ Volume of cylinder = 1649.33 units³   (2 d.p)

Therefore, the volume of the cylinder is 1649.33 units³.

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Answer:

1.2

Step-by-step explanation:

If you multiply the length by the width to find area, then you can divide the area by the width to find the length.


1\frac{4}{5} ÷ 1\frac{1}{2} = 1.2

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4 years ago
What is the value of x?
kozerog [31]

Answer:

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Step-by-step explanation:

Since they are vertical angles, the angles are congruent and therefore you can set them equal to each other.

4x + 20 = 3x + 55

Have x on one side of the equation by subtracting 3x from both sides.

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Figure RST on the graph is reflected over the y-axis creating figure R’S’T’. Figure R’S’T’ is translated down 2 units and left 1
Crazy boy [7]

Answer:

RST Is congruent to R’’S’’T’’

Angle R is congruent to angle R prime is congruent to angle R double-prime

TS Is congruent to T’S’ Is congruent to T’’S’’

Step-by-step explanation:

we know that

A reflection and a translation are rigid transformation that produce congruent figures

If two or more figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

Triangles RST, R'S'T and R''S''T'' are congruent

That means

Corresponding sides

RS≅R'S'≅R''S''

ST≅S'T'≅S''T''

RT≅R'T'≅R''T''

Corresponding angles

∠R≅∠R'≅∠R''

∠S≅∠S'≅∠S''

∠T≅∠T'≅∠T''

therefore

RST Is congruent to R’’S’’T’’

Angle R is congruent to angle R prime is congruent to angle R double-prime

TS Is congruent to T’S’ Is congruent to T’’S’’

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