All categories

3 years ago

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24pi cubic units.

Mathematics

1 answer:

bazaltina [42]3 years ago

3 0

Answer:

h = 6 units

Step-by-step explanation:

h = 3r

Volume = 24π

πr²h = 24π

πr² * 3r =24π

3πr³ =24π

r³ =24π / 3π

r³ = 8 = 2*2*2

r = 2 units

h = 3r = 3 *2 = 6 units

You might be interested in

I have to write the slope and equation of each line pictured in y = mx + b form.

Brut [27]

Answer:

y=7/3x+8

Step-by-step explanation:

You have to start at the 3and rise all the way to the 8 which is 7 and then run which is 3 so the slope mx is 7/3x. To find b which is the y intercept find the point where the line hits the y-axis.

5 0

2 years ago

Someone please help me with question 2

alukav5142 [94]

Answer:

v = s/t

v = (381.59 miles) / (5.5 hours)

v = 69.38 mph

8 0

2 years ago

1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING

iogann1982 [59]

$y=\displaystyle\sum_{n=0}^\infty a_nx^n$

then

$y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n$

The ODE in terms of these series is

$\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0$

$\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0$

$\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}$

We can solve the recurrence exactly by substitution:

$a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0$

$\implies a_n=\dfrac{(-2)^n}{n!}a_0$

So the ODE has solution

$y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}$

which you may recognize as the power series of the exponential function. Then

$\boxed{y(x)=a_0e^{-2x}}$

7 0

2 years ago

0.93+0.80 rounded to the nearest whole number

Novosadov [1.4K]

Answer:

1.73 rounded to the nearest whole number is 2

3 0

2 years ago

Read 2 more answers

I am having trouble with this question, can someone help i labed them 1,2,3, and 4.

Ket [755]

Answer:

Step-by-step explanation:

because if he turns right 90 he will get to school but if he turns left 90 he might get half way to the golf course. And since it doesn't specify there is no way in knowing which way to turn

5 0

2 years ago

Read 2 more answers