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Alborosie
3 years ago
6

A cone has a slant height of 25 inches and a radius of 7 cm what is the volume of the cone. Please show explanation, I have been

out of school for 30 years and trying to help my son understand this.
Mathematics
1 answer:
vovikov84 [41]3 years ago
3 0

Answer:

3258.77cm3

Step-by-step explanation:

Volume of a cone = 1/3 x Pi x radius ^2 x height

Radius was given as 7cm

Height was given as 25 inches (so 63.5cm) since volume is cm^3

And PI is 22/7 or 3.142

So by evaluation, Volume = 1/3 x 3.142 x (7)^2 x 63.5

Hence volume = 3258.77cm^3

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Solve the following system of equations for a and for b:
viktelen [127]

Answer:

a=3\\b=1

Step-by-step explanation:

9a+3b=30\\8a+4b=28

Let's solve the second equation for a to later on replace it in the first equation.

8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}

Now plug this into the first equation.

9a+3b=30\\9(\frac{28-4b}{8})+3b=30

Distribute the 9

(\frac{252-36b}{8}) +3b=30

Break down the fraction.

\frac{252}{8}-\frac{36b}{8}+3b=30

Simplify.

\frac{63}{2}-\frac{9}{2}b+3b=30

Subtract \frac{63}{2}

-\frac{9}{2}b+3b=30-\frac{63}{2}

Combine like terms.

\frac{-9+2*3}{2}b=\frac{30*2-63}{2}

\frac{-9+6}{2}b=\frac{60-63}{2}

\frac{-3}{2}b=\frac{-3}{2}

Muliply by the reciprocal or inverted fraction next to b.

(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})

b=1

Now plug this value into any of the equations to find the value of a.

8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3

5 0
3 years ago
If the three angles of a quadrilateral are 120, 130, 100 then what is the fourth angle?
nalin [4]

Answer:

c. 40

Step-by-step explanation:

3 0
2 years ago
2.54 cm / 1 in. = 100 cm / x in. show the work
Kitty [74]
2.45 cm= 1 in. so 100 cm must equal 39.37 in. because you already know 2.45 cm equals 1 inch and 1 metre equals 100 cm and 1 metre is equal to 39.37.
5 0
3 years ago
No Links
Black_prince [1.1K]

Answer:

C

Step-by-step explanation:

A and B would be very expensive for 2 people, and D is too little, so C would be sensible! Hope this helps!

5 0
2 years ago
Please answer (*´∇`*)
garri49 [273]
Answer:
D. 26

Explanation:
10% = 6.5
6.5 x 4 = 26
6 0
3 years ago
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