1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
umka2103 [35]
3 years ago
7

The cylinder below has a volume of 536.94 cubic inches. What is the radius of the cylinder? (Use 3.14 for π.)

Mathematics
1 answer:
Anestetic [448]3 years ago
3 0

We have been given volume of the cylinder which is 536.94 cubic inches. Now question says to find the radius of the cylinder.

Then we need to use formula of volume of cylinder which is given by :

Volume = \pi r^2 h

We see that there are three unknown values in the formula: {volume, radius-r, height-h}

So to find any one of them we must know other two values.

Volume is given but height is missing. So just for explanation i'm going to use height of the cylinder h= 19 inches

Now plug the value of volume and height in above formula

536.94 = \pi r^2 *19

536.94 = 3.14 r^2 *19

536.94 = 59.66r^2

\frac{536.94}{59.66} =r^2

9=r^2

take square root of both sides

3=r

Hence radius of the cylinder is 3 inches.

You might be interested in
Anybody want to help me in math please please i will really appreciate it
galina1969 [7]
What do you need help with
6 0
3 years ago
A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium d
qwelly [4]

Answer:

Step-by-step explanation:

Given that,

Cells are divided into two cell every 20mins, this implies that the half-life is 20mins

Initial population growth is 60cells

Growth rate r?

Population growth is modeled as

P(t) = Po•exp(rt)

Where,

Po is the initial growth at t= 0

Po= 60

P(t) is population at any time t.

Since the population doubles every 20mins(⅓hr)

Then, P(⅓) = 2×60 =120

Then, P(t) = 120cells

So, applying the formula

P(t) = Po•exp(rt)

120 = 60•exp(⅓r)

120/60 = exp(r/3)

2 = exp(r/3)

Take In of both sides

In(2) = r/3

Cross multiply

r = 3In(2)

r = 2.079 /hour

The growth rate is 2.079/hour.

7 0
3 years ago
If the money and interest are left in the bank how much is the total accumulated savings at the end of the second year for a sav
Mekhanik [1.2K]
\qquad \textit{Compound Interest Earned Amount}\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\qquad 
\begin{cases}
A=\textit{current amount}\\
P=\textit{original amount deposited}\to &\$3,500\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=\textit{times it compounds per year}\to &1\\
t=years\to &2
\end{cases}
\\ \quad \\
A=3500\left(1+\frac{0.08}{1}\right)^{1\cdot  2}\implies 3500(1.08^2)
6 0
3 years ago
George found that he blinked 85 times in 15 minutes. At this rate, how many seconds passed during 51 blinks?
Juliette [100K]
540 seconds which is equal to 9 minutes.
7 0
3 years ago
Can the following three measures form a triangle? 5,17 and 9
navik [9.2K]

Answer:

No

Step-by-step explanation:

Because 17 is greater than 5 + 9.

To form a triangle, no side can be equal or greater than the sum of the other 2 sides.

4 0
3 years ago
Other questions:
  • What equation is represented by the equation on the graph? A. y = - x – 2 B. y = - x – 2 C. y = - x + 2 D. y = - x + 2
    5·1 answer
  • Which of the following is equivalent to (2x+3)(2x+3)?
    5·1 answer
  • The day after the national holiday,decorations were marked down 40%.before the holiday,a partrotic banner cost 5.75.How much did
    12·1 answer
  • Algebra help PLEASEEE
    15·1 answer
  • If X > 0 and y > 0 , then which quadrant holds the solutions ?
    12·1 answer
  • 1. what is 0.7 of 42<br> 2. what is 0.3 of 14
    8·1 answer
  • Consider the following polynomial:
    15·1 answer
  • Calculate the Net Worth. Assets: House $238,000, General Savings $48,000, College Fund $28,000, Retirement Fund $72,000 Liabilit
    6·2 answers
  • 1/6 divided by 7/8 plz help
    10·1 answer
  • the point-slope equation for a given line may look different than the slope-equation form but they will simplify algebraically t
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!