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kompoz [17]
3 years ago
13

If a cone has a radius of 6 cm and the height of 18 cm what is it's volume ?

Mathematics
1 answer:
VLD [36.1K]3 years ago
4 0
The volume is V≈678.58cm³
You might be interested in
Which expression is equivalent to 6a + 15?
12345 [234]

Answer:3(2a+5)

6a+15 divide both sides by 6

a=2.5

Step-by-step explanation:

5 0
3 years ago
The first three towers in a sequence are shown. The nth tower is formed by stacking n blocks on top of an n times n square of bl
erik [133]

Answer:

The 99th tower contains 9900 blocks.

Step-by-step explanation:

From the question given, we were told that the nth tower is formed by stacking n blocks on top of an n times n square of blocks. This implies that the number of blocks in n tower will be:

n + n²

Now let us use the diagram to validate the idea.

Tower 1:

n = 1

Number of blocks = 1 + 1² = 2

Tower 2:

Number of blocks = 2 + 2² = 6

Tower 3:

Number of blocks = 3 + 3² = 12

Using same idea, we can obtain the number of blocks in the 99th tower as follow:

Tower 99:

n = 99

Number of blocks = 99 + 99² = 9900

Therefore, the 99th tower contains 9900 blocks.

7 0
3 years ago
Complete the proof for the following conjecture.
Ray Of Light [21]

Answer:

Statements                                                      Reasons

AC+CD=AD and AB+BD=AD         Segment Addition Postulate

AC+CD=AB+BD                            Transitive/Substitution Property

AC=BD                                         Given

BD+CD=AB+BD                            Substitution Property

CD=AB                                         Subtraction Property

AB=CD                                         Symmetric Property

Step-by-step explanation:

By segment addition postulate, we can say the following two equations:

AC+CD=AD and AB+BD=AD.

By either substitution/transitive property, you can say AC+CD=AB+BD.

You are given AC=BD, so we use substitution and write AC+CD=AB+AC.

After using subtraction property (subtracting both sides by AC), you obtain CD=AB.

By symmetric property, you may say AB=CD.

So let's write it into the 2 column-proof you have there:

Statements                                                      Reasons

AC+CD=AD and AB+BD=AD        Segment Addition Postulate

AC+CD=AB+BD                            Transitive/Substitution Property

AC=BD                                          Given

BD+CD=AB+BD                             Substitution Property

CD=AB                                          Subtraction Property

AB=CD                                          Symmetric Property

Properties/Postulates used:

Transitive property which says:

If a=b and b=c, then a=c.

Substitution property which says:

If a=b, then b can be substituted(replaced with) for a.

Subtraction property which says:

a=b implies a-c=b-c.

Segment Addition Postulate says:

If you break a segment into two smaller pieces then the measurement of that segment is equal to the sum of the smaller two segments' measurements.

3 0
3 years ago
Which equations show the identity property of multiplication?
Lady bird [3.3K]
My answer is a and c becuase they equal the same on each side
3 0
3 years ago
A rectangle has a height of 3 cm and width of 5cm. A proportional rectangle has a height of 12cm. What would be the width?
Schach [20]

The ratio will be same

  • Let width be x

\\ \sf\longmapsto \dfrac{3}{5}=\dfrac{12}{x}

\\ \sf\longmapsto 3x=5(12)

\\ \sf\longmapsto 3x=60

\\ \sf\longmapsto x=\dfrac{60}{3}

\\ \sf\longmapsto x=20cm

5 0
3 years ago
Read 2 more answers
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