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vesna_86 [32]
3 years ago
6

What is the volume of the cone? Use π ≈ 3.14.

Mathematics
2 answers:
Temka [501]3 years ago
6 0

Answer:

Option (a) is correct.

The volume of cone is 12.56 cubic meters.

Step-by-step explanation:

Given : A oblique cone with slant height = 5 units and diameter = 4 units.

We have to find the Volume of the given oblique cone.

Consider the given oblique cone with slant height = 5 units and diameter = 4 units.          

In a right angle triangle, the square of hypotenuse is equal to the sum of  square of base and perpendicular.

that is  h^2=b^2+p^2

Apply Pythagoras theorem,

We have,

h = 5 and b = 4

Thus, 5^2=4^2+p^2

Solve for p , we have,

25-16=p^2

9=p^2

Thus, p = 3 (as length cannot be negative)

Thus, the height of cone is 3 units

Volume of cone = \frac{1}{3}\pi r^2h

Put r = 2 and h = 3 and π ≈ 3.14.

We have,

Volume of cone = \frac{1}{3}\cdot 3.14 \cdot 4 \cdot3

Simplify, we have,

Volume of cone = 12.56 units³

Thus, The volume of cone is 12.56 cubic meters.

                           

                     

Korolek [52]3 years ago
3 0
12.56 cubic units.......
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Last question please
MatroZZZ [7]

Let's try an make a formula to make things easy.

_________________________________________________

Look at Andrew's pattern, it goes up 6 every time. Lets look at the 6 times table

6 times table:           6, 12, 18, 24, ...

____________________________________

First think, how would you work out the <u>7</u>th term in the <u>6</u>th times table?

You would do <u>6</u> times <u>7</u>.

So the formula for the 6th times table is:

6n     (where n is the term you want to find out)

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So to get the 9th term in the 6 times table, you would replace the n with 9, like so:

9th term in 6 times table = 6 x 9 = 54

______________________________________

Now lets compare the 6 times table to Andrew's pattern:

6 times table:           6, 12, 18, 24,

Andrew's pattern:     3, 9, 15, 21,

_____________________________________

If you look, you can see that Andrew's pattern is the 6 times table minus 3!

So what would be the formula for Andrew pattern?

---> it would be:  6n - 3   (since it's the 6 times table but minus 3)

_____________________________________

We can use this formula to easily work out the 20th term in Andrew's pattern!:

20th term = 6 x 20 - 3 = 120 - 3 = <u>117</u>    (remember, replace the n with 20)

______________________________________

Now let's make a formula for Ben's pattern!

Ben's pattern goes up in 5s, so lets compare it to the 5 times table:

5 times table:       5, 10, 15, 20

Ben's pattern:       3, 8, 13, 18,

The formula for the 5 times table is 5n, and Ben's pattern is the 5 times table but minus 2.

So the formula for Ben's pattern is: 5n - 2

__________________________________

<u>Now swap out the n for 20</u>  (to get the 20th term):

20th term = 5 x 20 - 2 = 100 - 2 = <u>98</u>

_________________________________________

So Andrew's 20th term is <u>117</u>, and Ben's 20th term is <u>98</u>.

All we do now is subtract them to find the difference:

117 - 98 = <u>19</u>

- - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

Ben's 20th term is smaller by 19!

- - - - - - - - - - - - - - - - - - - - - - - - - -

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Answer:

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