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yan [13]
3 years ago
14

The equation above can be used to calculate the volume V, of a cone with a height h and radius r. If the volume of a cone is 243

?ft3, and the height is equal to the radius of the base, what is the height of the cone in feet?
Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0

Answer:

The height of the cone is h=9\ ft

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2}h

In this problem we have

V=243\pi\ ft^{3}

r=h\ ft

substitute

243\pi=\frac{1}{3}\pi (h^{2})h

simplify

729=(h^{3})

h=\sqrt[3]{729}\ ft

h=9\ ft

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You will have to divide the beef Maria bought by the amount of beef she uses to make the tacos. She can make 15 tacos.
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3 years ago
An arc on a circle measures 85°. The measure of the central angle, in radians, is within which range? 0 to StartFraction pi Over
barxatty [35]

Answer:

0 to StartFraction pi Over 2

Step-by-step explanation:

we know that

If the arc on a circle measures 85 degrees, then the measure of the central angle is also 85 degrees too

so

The central angle in degrees is within the range (0,90^o)

Convert to radians

Remember that

\frac{\pi}{2}\ radians=90^o

therefore

the range in radians is (0,\frac{\pi}{2})

0 to StartFraction pi Over 2

3 0
3 years ago
Read 2 more answers
•Mr. Jones and Mr. Thomas
mamaluj [8]

The profit should be shared in proportion to Mr Jones, Mr Thomas and Mr forson capitals in the ratio 21 : 32 : 27 respectively.

<h3>Proportion</h3>

  • Mr Jones capital = $12600
  • Mr Thomas capital =$19200
  • Mr forson capital = $16200

Total capital = $12600 + $19200 + $16200

= $48,000

Mr Jones proportion = $12600 / $48,000

= 21/80

Mr Thomas proportion = $19200 / $48,000

= 32/80

Mr forson proportion = $16200 / $48000

= 27/80

Learn more about proportion:

brainly.com/question/1781657

$SPJ1

8 0
2 years ago
You and your friend are selling tickets to a charity event. you sell 12 adult tickets and 6 student tickets for $138. your frien
mr Goodwill [35]
Let's say the cost of student tickets is x and the cost of adult tickets is y. Then:

(1) 12y + 6x = 138
(2) 5y + 11x = 100

If we rearrange equation (1) we get:
12y = 138 - 6x
Now divide each side by 12:
y = 11.5 - 0.5x

We can now substitute this into equation (2):

5(11.5 - 0.5x) + 11x = 100
57.5 - 2.5x + 11x = 100
8.5x = 42.5
x = 5, therefor the cost of a student ticket is $5.00
6 0
3 years ago
A line passes through point (-6,-5) and has a slope of -3/2 <br><br> write in Ax+by=c
Evgesh-ka [11]

Answer:

-6x+-5y= -3/2

Step-by-step explanation:

Hope this helps

7 0
3 years ago
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