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tekilochka [14]
3 years ago
7

*. Find the volume of a cone with a 6-inchradius and a height of 10 inches.​

Mathematics
2 answers:
Brut [27]3 years ago
8 0

Answer:

V=376.99 in

Step-by-step explanation:

V=πr^2h /3

V=3.14*6^2*10/3

V=376.99

Minchanka [31]3 years ago
7 0

Answer:

V = 120pi in^3 or approximately 376.8 in^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

V = 1/3 pi (6)^2 (10)

V = 120 pi

If we approximate pi by 3.14

V = 120 (3.14)

376.8 in^3

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Suppose you know that the volume of the following prism is represent by V(x) = -2x^3 + 14x^2 + 120x.
erastova [34]

Step-by-step explanation:

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When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.

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3 years ago
Circle any equivalent ratios from the list below.
marysya [2.9K]

Answer:

Equivalent ratios: we can that the first ratio is equivalent to the second,  then third ratio is equivalent to the forth.  

Ratio: 1: 2 Value of the Ratio:  1/2

Ratio: 5: 10 Value of the Ratio:  1/2

Ratio: 6: 16 Value of the Ratio:  3/8

Ratio: 12: 32 Value of the Ratio: 3/8

We notice that if the values are equivalent the ratios are equivalent

Step-by-step explanation:

Equivalent ratios:

To get if ratios are equivalent we look for the constant between ratios

a.Ratio: 1: 2  and Ratio: 5: 10  

We apply the method of comparing the first term of both ratios ,  and the second term of both ratios.  We see the constant is 5 ( 1/5 is equal to 2/10)

We do the same with third and forth ratio

Ratio: 6: 16 compare to Ratio: 12: 32

6/12 is equal to 16/32 the constant is 2

<u>So,  we can that the first ratio is equivalent to the second,  then, third ratio is equivalent to the forth.  </u>

Value of the Ratio:  The value is a ratio written as a fraction.

Ratio: 1: 2 Value of the Ratio:  1/2

Ratio: 5: 10 Value of the Ratio:  5/10 if we divide both sides by 5,  we can say  Value of the Ratio:  1/2

Ratio: 6: 16 Value of the Ratio:  6/16 if we divide both sides by 2,  we can say the value is 3/ 8

Ratio: 12: 32 Value of the Ratio: 12/32 if we divide both sides by 4,  we can say the value is 3/ 8

<u>If the values are equivalent the ratios are equivalent.</u>

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3 years ago
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2 years ago
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Answer:

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