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Bumek [7]
3 years ago
8

A cylinder of clay has a diameter of 12 cm and a height of 12 cm. If this clay is made into congruent cones with a radius of 3 c

m and a height of 8 cm, how many cones could be made with all of the clay?If you used all the clay, you could make
Mathematics
1 answer:
DanielleElmas [232]3 years ago
8 0

Step-by-step explanation:

volume of the cyclinder=πr²h

=π×6²×12

=432π cm³

volume of a cone=1/3πr²h

=1/3π×9×8

=24π cm³

number of cones=432π/24π=18 cones

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How to sovle <br> (x+1/x)^2
Slav-nsk [51]

(\frac{x + 1}{x} ) ^{2}  \\  =  \frac{ {(x + 1)}^{2} }{ {x}^{2} }  \\  = \frac{ (x + 1)(x + 1) }{ {x}^{2} } \\ = \frac{ {x}^{2}  + 2x + 1}{ {x}^{2} }

Hope you could get an idea from here.

Doubt clarification- use comment section.

4 0
3 years ago
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected178 m
Agata [3.3K]

Answer:

Let number of cans collected by Shane =S

Number of cans collected by Abha=S+178

As, it is given that ,Abha collected 178 more cans than Shane did.

Also, the statement about inequality is

Both Shane and Abha have to collect no less than 2000 cans for recycling.

Writing the statement in terms of inequality

S +S+178 ≥ 2000

2 S ≥ 2000 - 178

2 S ≥ 1822

Dividing both sides by 2, we get

S≥ 911

So, Shane must have collected At least 911 cans.

6 0
3 years ago
Read 2 more answers
Four more than the product of three and a number x.
saul85 [17]

Answer:

3x +4

Step-by-step explanation:

4 more= 4+

the product of 3 and x = 3 times x

=

4+ 3x

3 0
3 years ago
Read 2 more answers
The density of titanium is 4.51 g/cm^3
forsale [732]

The volume of titanium is 20.86 cubic inches

<em><u>Solution:</u></em>

The volume is given by formula:

volume = \frac{mass}{density}

From given,

Density of titanium = 4.51 g/cm^3

Mass = 3.4 lb

Let us convert the mass to grams

1 pound = 453.592 grams

Therefore, 3.4 pound is equal to:

3.4 \text{ pound } = 3.4 \times 453.592 \text{ grams }\\\\3.4 \text{ pound } = 1542.2128\text{ grams }

Now substitute the values into formula:

volume = \frac{1542.2128}{4.51}\\\\volume = 341.95 cm^3

Let us convert cubic centimeter to cubic inches

1 cubic centimeter = 0.0610237 cubic inches

Therefore,

341.95\ cm^3 =  0.0610237 \times 341.95\ in^3 = 20.86\ in^3

Thus volume of titanium is 20.86 cubic inches

6 0
3 years ago
Elena packed 48 cubes into this box.Each cube has edges that are 1 centimeter.How many layers of cubes did Elena make
solniwko [45]
Elena packed 48 cubes.
Each cube has an edge of 1 centimeter.
The number of layers that Elena can make depends on how each layer is arranged and depends on how many cubes are there in a layer.
Assume that each layer has  only 1 cube, then there are 48 layers.
4 0
3 years ago
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