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2 years ago

6

A cone has height $h$ and a base with radius $r$ . You want to change the cone so its volume is doubled. What is the new height

if you change only the height

2 answers:

Viktor [21]2 years ago

3 0

$\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{doubled}{2V} \end{cases}\implies 2V=\cfrac{\pi r^2 h}{3}\implies V=\cfrac{\pi r^2 h}{3\cdot 2} \\\\\\ V=\cfrac{\pi r^2}{3}\cdot \cfrac{h}{2}\implies V=\cfrac{\pi r^2\left( \frac{h}{2} \right)}{3}\qquad \textit{half the previous "h"}$

grandymaker [24]2 years ago

3 0

Answer: 2h

Step-by-step explanation:

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John is younger than miraji for 15yrs after 4yrs the sum of their age will be 41yrs find the age of miraji at present

Margaret [11]

(x+4) + ((x-15)+4)= 41
2x-7= 41
2x= 48
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6 0

4 years ago

I am have trouble with these x-intercepts. Please help me.

kotegsom [21]

Answer:

x=8, x=2
no solution
no solution

Step-by-step explanation:

For the equation ...

y = a(x -h)² +k

you can find the x-intercepts by setting y=0 and solving for x.

0 = a(x -h)² +k

-k = a(x -h)² . . . . . . subtract k

-k/a = (x -h)² . . . . . divide by a

±√(-k/a) = x -h . . . . take the square root

h ± √(-k/a) = x . . . . add h . . . . this is the general solution

__

So, for each of your problems, fill in the corresponding numbers and do the arithmetic. If (-k/a) is a negative number, the square root gives imaginary values, so there is "no solution".

1. x = 5 ± √9 = {5 -3, 5 +3} = {2, 8} . . . . the x-intercepts are 2 and 8

2. x = -3 ± √(-2) . . . . . . no solution; the roots are complex

3. x = 5 ± √(-8/4) . . . . . no solution; the roots are complex

7 0

3 years ago

Read 2 more answers

Find the area of the shape either enter an exact answer in terms of Pi or use 3.14 for pi and enter your answer as a decimal

sammy [17]

<u>Given</u>:

Given that the radius of the figure is 6 units.

We need to determine the area of the shape.

<u>Angle of the shape:</u>

The angle of the shape is given by

$\theta=360-90=270$

Hence, the angle of the shape is 270°

<u>Area of the shape:</u>

The area of the shape can be determined using the formula,

$A=(\frac{\theta}{360}) \pi r^2$

Substituting r = 6, we get;

$A=(\frac{270}{360}) (3.14)(6)^2$

Simplifying, we get;

$A=(0.75)(3.14)(36)$

$A=84.78$

Thus, the area of the shape is 84.78 square units.

5 0

3 years ago

URGENT PLEASE HELP!!!!!

telo118 [61]

(1)

we are given

$\frac{y}{6} =x$

we can find for y

multiply both sides by 6

$\frac{y}{6}*6 =6*x$

$y=6x$

we can see that y is directly proportional to x

so, option-D........Answer

(2)

y varies inversely with x

so, we can write it as

$y=k\frac{1}{x}$

now, we are given

y=5 when x=2.5

so, we can plug it here

$5=k\frac{1}{2.5}$

and then we can solve for k

$5*2.5=2.5*k\frac{1}{2.5}$

$k=12.5$

now, we can plug back

$y=\frac{12.5}{x}$

we can plug x=20

$y=\frac{12.5}{20}$

$y=0.625$ .............Answer

(3)

we are given

The current, I, in a circuit varies inversely with the resistance, R

so, we can write it as

$I=\frac{k}{R}$

we have R=12 when I=3

so, we can plug it

$3=\frac{k}{12}$

now, we can solve for k

$3*12=12*\frac{k}{12}$

$k=36$

now, we can plug back

$I=\frac{36}{R}$

we can plug R=6

$I=\frac{36}{6}$

$I=6$ ................Answer

6 0

3 years ago

Which expression is equivalent to the expression below

pochemuha

Answer:

2/ 10^12

Step-by-step explanation:

see image below:)

3 0

3 years ago