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Bas_tet [7]
4 years ago
10

A cone has a Volume of 108pi and a base diameter of 12. What is the height of the cone?

Mathematics
2 answers:
Ivahew [28]4 years ago
4 0

Answer:

The cone's height is 9

Step-by-step explanation:

Recall that the volume of a cone is: \frac{h}{3} \pi \,r^2, where 'h' is the cone's height, and "r" the radius of its base.

In our case, we know that the volume of the cone equals; 108\,\pi.

We also know the diameter of the base (12), so the radius of the base must be half of this: 6

Now we replace all known values in the formula for the volume, and solve for the unknown "h':

V=\frac{h}{3} \pi \,r^2\\108\,\pi =\frac{h}{3} \pi \,(6)^2\\108\,\pi =\frac{h}{3} \pi \,(36)\\108\,\pi =h (12) \pi \,\\h=\frac{108\,\pi }{12\,\pi } \\h=9

allochka39001 [22]4 years ago
4 0

Answer:

Step-by-step explanation:

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Robin had 7/8 pound of butter when she started baking a cake. She used 1/4 pound of butter while baking. How much butter was lef
8_murik_8 [283]

Answer:

\dfrac{5}{8} butter was left after she was done baking.

Step-by-step explanation:

Robin had 7/8 pound of butter when she started baking a cake. She used 1/4 pound of butter while baking.

We need to find how much butter was left after she was done baking.

It can be calculated as follows,

Left =

=\dfrac{7}{8}-\dfrac{1}{4}\\\\=\dfrac{7}{8}-\dfrac{2}{8}\\\\=\dfrac{7-2}{8}\\\\=\dfrac{5}{8}

Hence, \dfrac{5}{8} butter was left after she was done baking

3 0
3 years ago
Jenny had $17 more than susan, and together they had enough money to buy a game for $93 and to have a pizza for $6. how much mon
Rasek [7]
The total amount of money that Jenny and Susan spent is the sum of the money spent for the games and pizza. That is,
                T = $93 + $6 = $99

We let x be the amount that Susan has. With this representation, the amount of money that Jenny has is x + 17. The equation that would represent this situation is,
                     x + 17 + x = 99
The value of x from the equation is 42.

ANSWER: $42. 
             
5 0
4 years ago
Find the sum of the G.P,16^2+17^2+18^2+...+25^2
artcher [175]

Answer:

hello :

note : 1²+2²+3²+........+n² = n(n+1)(n+2)/6

Step-by-step explanation:

let : S = 1²+2²+3²+......+25²

       A =  16²+17²+18²+...+25²

      B =  1²+2²+3²+......+15²

      S = (1²+2²+3²+....+15²) + (16²+17²+18²+...+25²)

calculate : S   for : n = 25

S = 25(26)(27)/6 = 2925

calculate : B   for : n = 15

B = 15(16)(17)/6 = 680

so : S = B + A

     A  = S - B = 2925 - 680 = 2245


5 0
3 years ago
Read 2 more answers
A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph.
djyliett [7]

Since the distances were the same you can find the average speed directly by adding the speeds then dividing by 2. No need to weight anything.

If we’re considering speed regardless of direction, the average speed is:

(24 + 16) / 2 = 40 / 2 = 20mph

However if direction matters, then one number has to be negative since the directions are opposite:

(24 - 16) / 2 = 8 / 2 = 4mph (in the positive direction)

Depending on the context, either of these could be your answer.

8 0
3 years ago
Does anyone know the minim value of the function f(x) =2x^2 -4x -6?. I’m online due to my quarantine and am looking for extra he
navik [9.2K]

Answer:

f(x) = - 8

Explanation:

The given function is

f(x) =2x^2 -4x -6

The first step is to find the derivative of the function. Recall, if

y = ax^b

y' = abx^(b - 1)

Thus,

f'(x) = 4x - 4

We would equate f'(x) to zero and solve for x. We have

4x - 4 = 0

4x = 4

x = 4/4

x = 1

We would substitute x = 1 into the original function and solve for f(x) or y. It becomes

f(1) =2(1)^2 -4(1) - 6 = 2 - 4 - 6

f(1) = - 8

Thus, the minimum value is f(x) = - 8

4 0
1 year ago
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