All categories

3 years ago

Find the best approximation of the volume of the sphere.

Mathematics

1 answer:

VMariaS [17]3 years ago

7 0

Answer: 11,500 cm^3

Explanation:

The volume of a sphere with radius r is:

$V = \frac{4}{3}\pi r^3$

with r = 14 cm, the volume is:

$V = \frac{4}{3}\pi 14^3 = 11494.04 \,\,\mbox{cm}^3\approx 11500\,\,\mbox{cm}^3$

You might be interested in

1) Solve.

rusak2 [61]

Step-by-step explanation:

1. Given : P = $1200 , R = 5%, T = 7 years

Therefore, the simple interest is, $SI = \frac{PTR}{100}$

$=\frac{1200 \times 7 \times 5}{100}$

= $ 420

Therefore, total amount Manny will have is A = P + Si

= 1200 +420

= $ 1620

2. Given : P = $1200 , r = 5%, t = 7 years, n = 12 times (compounded)

So the amount is :

$A=P\left(1+\frac{r}{n}\right)^{nt}$

$A=1200\left(1+\frac{0.05}{12}\right)^{12\times 7}$

= 1692.17

So Manny would have approximately $ 1692 when compounded monthly.

3. Given :

The amount of stock = $ 100

rate of depreciation = 3%

Time = 20 years.

Therefore, using compound interest, we get

Future value = initial value x $(1-\text{rate})^{number of years}$

= $100 \times (1 - 3 \%)^{20}$

= 54.38

So after 20 years, the value would be $ 54.38

4. Given :

Initial amount, i = 40 gram

time, t = 40 days

half life of the isotope, h = 8 days

1/2 is used because of half life

Therefore, the final amount is given by :

$a=i \times \left(\frac{1}{2}\right)^{t/h}$

$a=40\times \left(\frac{1}{2}\right)^{40/8}$

= 1.25 gram

So after 40 days, 1.25 gram will be left.

5. Let p = pizza and d = drink

So according to the question,

2p + 4d = $ 15 ....(i)

4p + 7d = $ 30...(ii)

Equation equation (i) and (ii), we get

d = $0

and p = $ 7.5

6 0

3 years ago

Which of the following sequences are geometric?

svetlana [45]

Answer:

the answer is A

Step-by-step explanation:

divide each of the second numbers by the first

that is

$1 \div 3 = \frac{1}{3 } \\ \frac{1}{3} \div 1 = \frac{1}{3}$

and so on

All the answers you get will be equal to 0.33333 or 1/3

3 0

3 years ago

Whoever gets this correct I’ll mark you as brainliest !!

Troyanec [42]

The answer should be 4 seconds.

5 0

3 years ago

Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting

yanalaym [24]

Answer

The cheaper dog sitter is Derrick's.

Step-by-step explanation:

You did not really ask a question here but i am assuming that your asking who is the cheaper route.

4 0

3 years ago

What is the equation<br>

slava [35]

Answer:

B. $(x+1)^2+(y-2)^2=9$

Step-by-step explanation:

The given circle is centered at $(-1,2)$ and has radius 3 units.

The equation is given by

$(x-a)^2+(y-b)^2=r^2$

where (a,b) is the center and r is the radius.

We substitute the values to obtain;

$(x--1)^2+(y-2)^2=3^2$

$(x+1)^2+(y-2)^2=9$

8 0

3 years ago

Read 2 more answers