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OLga [1]
3 years ago
14

3. A cone has a heighth and a base with radius r. You want to change the cone so its volume is tripled. What is the new height i

f you only change the
height?
Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0

Answer:

Hence the new height  is 3 times the original height .(h1=3h)

Step-by-step explanation:

Given:

A cone with  has height and base with radius r .

To Find:

What is new height

Solution:

Consider as cone with height h base radius r, and volume v

Here given that only height changes for the cone  i.e. r remains the unchanged or same or constant

The volume for a regular cone is given by ,

V=pie*r^2*h/3

Here V is directly proportional to h i.ee pie ,3 and r being constant

V=K*h

i.e V/h=constant

V1 and h1 are new dimensions for new cone

V/h=V1/h1

Here V1=3V

So V/h=3V/h1

1/h=3/h1

i.e  h1=3h

Hence the height  is 3 times the original height .

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Answer:

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Step-by-step explanation:

How to Calculate Rounding to the Nearest 100th?

If the digit after hundredth is greater than or equal to 5, add 1 to hundredth. Else remove the digit. Example

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2 years ago
Read 2 more answers
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
wel

Answer:

z=\frac{15\sqrt{3}}{2}

Step-by-step explanation:

In leftmost triangle:

opposite side =y

adjacent=a

now, we can use trig formula

tan(60)=\frac{y}{a}

now, we can solve for y

y=atan(60)

In rightmost triangle:

adjacent=b

opposite=y

a+b=15

b=15-a

now, we can use trig formula

tan(30)=\frac{y}{15-a}

now, we can solve for y

y=(15-a)tan(30)

now, we can set them equal

and then we can solve for a

atan(60)=(15-a)tan(30)

\sqrt{3}a\cdot \:3=\frac{\sqrt{3}\left(15-a\right)}{3}\cdot \:3

4\sqrt{3}a=15\sqrt{3}

a=\frac{15}{4}

now, we can find b

b=15-\frac{15}{4}

b=\frac{45}{4}

now, we can use trig formula

cos(30)=\frac{b}{z}

now, we can find z

z=\frac{\frac{45}{4}}{cos(30)}

we can simplify it

and we get

z=\frac{15\sqrt{3}}{2}


4 0
3 years ago
14. y = (x - 3)² + 4<br> Graph
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Answer:

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Step-by-step explanation:

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Your parents are buying a house for $187,500. They have a good credit rating, are making a 20% down payment, and expect to pay $
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<span>20%, or $37,500 is the down payment. </span>
<span>The loan amount would be $187,500 - $37,500 = $150,000. </span>

<span>If we assume the annual rate of the loan is 4.65% </span>
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<span>About $33.75 an hour.</span>
7 0
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