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sammy [17]
3 years ago
7

If a cone has a volume of 338 cm^3 and a radius of 6 cm, how tall is it?

Mathematics
1 answer:
Anna35 [415]3 years ago
6 0

The formula for the volume of a cone is V = πr²h ÷3

You are solving for the height, h.

V = 338 cm³ and r = 6 cm

338 = π(6)²h÷3

338 = π36h÷3

338 = π12h

28.16 = πh

8.965 = h

The height of the cone is around 9 cm.

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Can someone help me please and thank you
Veronika [31]

Find the ratio of the two similar sides that both dimensions are given.

The smaller triangle aide that is 4 units is the similar side of the larger triangle given as 8 units.

8 / 4 =2, this means the larger triangle is 2 times the size of the smaller triangle, which also means the smaller triangle is 1/2 the size of the larger triangle.


X on the smaller triangle is 1/2 11 units which equals 5.5 units.

Y is 2 times 3, which equals 6 units.

x = 5.5

y = 6

3 0
4 years ago
Stephen, Nick and Brian share £90 in a ratio 1:2:2. How much money does each person get?
malfutka [58]

Answer:

Stephen: £36

Nick: £36

Brian: £18

Step-by-step explanation:

2+2+1= 5

90/5= 18

18x2= 36

18x2=36

18x1=18

Hope it helps

4 0
3 years ago
Solve for m and n<br> I been stuck on this question for an hour
Crazy boy [7]

Answer:

m = 10 , n = 5\sqrt{2}

Step-by-step explanation:

using the cosine and tangent ratio in the right triangle and the exact values

cos45° = \frac{1}{\sqrt{2} } and tan45° = 1 , then

cos45° = \frac{adjacent}{hypotenuse} = \frac{5\sqrt{2} }{m} = \frac{1}{\sqrt{2} } ( cross- multiply )

m = 5\sqrt{2} × \sqrt{2} = 5 × 2 = 10

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

tan45° = \frac{opposite}{adjacent} = \frac{n}{5\sqrt{2} } = 1 , then

n = 5\sqrt{2}

3 0
2 years ago
Will mark you as brainliest. If your good with polynomials.
kobusy [5.1K]
To solve/simplify this all you have to do is group like terms (the x^2's with each other, the x's with each other, and the normal numbers, -8)

14x^2-8+5x-6x^2+2x

group the x^2 (add 14x^2 to -6x^2)

8x^2-8+5x+2x

group the x's together (add 5x and 2x together)

8x^2+7x-8

Your answer will be d) 8x^2+7x-8



4 0
4 years ago
System of equations- does this have one solution, many solutions or no solution
Alla [95]

Answer:

One solution

Step-by-step explanation:

Let's rewrite y = 6 - 3x as y = -3x + 6

Looking at these two equations, we can see they share a y-intercept

Making our solution 6

We know there is only one solution because the equations are not the exact same, if they were we'd have infinitely many solutions

We also know there aren't no solutions because the lines are not parallel (same slopes with difference y-intercepts)

Best of luck

3 0
3 years ago
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