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MAXImum [283]
2 years ago
13

what is the volume of a cone with a diameter of 30 feet and height of 60 feet? use 3.14 for pi. enter your answer in the box

Mathematics
2 answers:
Marizza181 [45]2 years ago
5 0

The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.

<h3>What is the volume of a cone?</h3>

The volume of the cone is given by;

\rm Volume  \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where;\  r = radius \ and \ h = height

The volume of a cone with a diameter of 30 feet and a height of 60 feet.

The radius of the cone is;

\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{30}{2}\\\\Radius=15

Substitute all the values in the formula

\rm Volume  \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume  \ of \ cone=\dfrac{1}{3}\times 3.14 \times 15^2 \times 60\\\\Volume  \ of \ cone=14130

Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.

Learn more about the volume of cone here;

brainly.com/question/3013784

#SPJ2

Pani-rosa [81]2 years ago
3 0

Answer:

volume = 14,137

Step-by-step explanation:

radius is the diameter divided by 2

30÷2=15

radius = 15 then square

15^2 = 225

formula of volume of a cone is 1/3*pi*raduis^2*the height

1/3(3.14)(225)(60)= 14,137

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If the farmer has 250 feet of fencing to create a rectangular pen, define a function f that expresses the area of the field (mea
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Answer:

Maximum area possible

f(max)  = 3906,25 ft²

Dimensions:

a  = 62,5  ft

w  = 62,5 ft

Step-by-step explanation:

Perimeter of the rectangular fencing    P  =  250 feet

And sides of the rectangle  a  and  w (width of rectangle)

Then

A =  a*w

2a  + 2w  = 250       ⇒  a  =  (250 -2w)/ 2    ⇒  a = 125 - w

f(w)  =  (125  - w ) *w        f(w)  = 125w - w²  

Taking derivatives both sides of the equation

f´(w)   =  125  - 2w              f´(w)   = 0           125  - 2w = 0

w = 125/2

w = 62,5 ft            ⇒  a = 125 - 62,5

a = 62,5 ft

f(max)  = ( 62,5)²

f(max)  = 3906,25 ft²

8 0
3 years ago
In a class of 85 students, 40% walk home after school. How many students walk home after
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Answer:

34 students walk home after school.

Step-by-step explanation:

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3 0
3 years ago
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Answer:

The inequality that could be used to model this situation is 15.95+0.10m<40. Also, the number of minutes has to be less than 240.5 for Mr. Kordemsky's phone bill for the month to be less than $40.

Step-by-step explanation:

From the information provided, the inequality would indicate that the phone bill for the month that is equal to the result of the fixed fee plus the price per minute for the number of minutes has to be less than $40, which can be expressed as:

15.95+0.10m<40

Now, you can solve for m:

15.95+0.10m<40

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m<24.05/0.10

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According to this, the answer is that the inequality that could be used to model this situation is 15.95+0.10m<40. Also, the number of minutes has to be less than 240.5 for Mr. Kordemsky's phone bill for the month to be less than $40.

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