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2 years ago

What is the surface area of the cylinder with height 4 mi and radius 3 mi? Round your answer to the nearest thousandth.

Mathematics

1 answer:

Norma-Jean [14]2 years ago

5 0

Answer:

The surface area of the cylinder will be "131.88".

Step-by-step explanation:

The given values are:

Height of cylinder,

h = 4 m

Radius of cylinder,

r = 3 m

As we know,

The surface are of cylinder is:

⇒ $A_s=2 \pi r(h+r)$

On substituting the values, we get

⇒ $=2\times 3.14\times 3(4+3)$

⇒ $=18.84\times 7$

⇒ $=131.88$

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Brittany will be working full time this summer to save for her goal of having 10,000 by the time she is 21. Brittany has an acco

photoshop1234 [79]

Answer:

$ 8,695.35

Step-by-step explanation:

This is a compound interest question

Amount after t years = A = P(1 + r/n)^nt

Where P = Initial Amount saved

r = interest rate

t = time in years

n = compounding frequency

A = 10,000

r = 3.5 %

t = 21 - 17 = 4 years

n = Compounded monthly = 12

Step 1

Converting R percent to r a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

P = A / (1 + r/n)^nt

Solving our equation:

P = 10000 / ( 1 + (0.035/12)^12 ×4 =

P = $8,695.35

The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.

8 0

3 years ago

3/4 (x-16) -5=15 solve for x

sergey [27]

3/4x-12-5=15
3/4x-17=15
3x-68=60
3x=60+68
3x=128
X=128/3

6 0

3 years ago

Need help with finding the surface area and volume for this please thanks I just need step by step help so I can understand it m

Allisa [31]

Answer:

144

Step-by-step explanation:

First, do the top and bottom. The top is 2*4*3 or 24, and the bottom is 6*4 or 24.

Now, do the sides. It is a staircase that you can split into 6 2x2 blocks, or 6*4=24. Do the same with the other side to get 24 again.

Now for the front and back. This is 2*4*3 and 6*4 again, or 24 and 24.

Now you have 6 24's so just multiply these and get 144.

6 0

3 years ago

Two part-time instructors are hired by the Department of Statistics and each is assigned at random to teach a single course in p

scZoUnD [109]

Answer:

The probability that they will teach different courses is $\frac{2}{3}$ .

Step-by-step explanation:

Sample space is a set of all possible outcomes of an experiment.

In this case we will write the sample space in the form (x, y).

Here x represents the course taught by the first part-time instructor and y represents the course taught by the second part-time instructor.

Denote every course by their first letter.

The sample space is as follows:

S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}

The outcomes where the the instructors will teach different courses are:

s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}

The probability of an events E is the ratio of the number of favorable outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

Compute the probability that they will teach different courses as follows:

$P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}$

Thus, the probability that they will teach different courses is $\frac{2}{3}$ .

3 0

2 years ago

2. The area of a square is 72 sq in. What is its side length?

defon

Answer:

$6 \sqrt{2}$

if you don't have to simplify it, it is

$\sqrt{72}$

Step-by-step explanation:

the equation for the area of a square is

$a = {s}^{2}$

substitute 72 for a

$72 = {s}^{2}$

take the square root of both sides to cancel out the square on the s

$\sqrt{72} = \sqrt{ {s}^{2} }$

$\sqrt{72} = s$

if you need it simplified, find the perfect square that makes up 72. It is 36.

$\sqrt{36 \times 2} = s$

take the square root of 36

$6 \sqrt{2} = s$

5 0

2 years ago