What is an angle that crosses itself called?

cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0

Dafna11 [192]

Answer:

Radius=2.09 cm

Height,h=14.57 cm

Step-by-step explanation:

We are given that

Volume of cylinderical shaped can=200 cubic cm.

Cost of sides of can=0.02 cents per square cm

Cost of top and bottom of the can =0.07 cents per square cm

Curved surface area of cylinder= $2\pi rh$

Area of circular base=Area of circular top= $\pi r^2$

Total cost,C(r)= $0.02\times 2\pi rh+2\pi r^2\times 0.07$

Volume of cylinder, $V=\pi r^2 h$

$200=\pi r^2 h$

$h=\frac{200}{\pi r^2}$

Substitute the value of h

$C(r)=0.02\times 2\pi r\times \frac{200}{\pi r^2}+2\pi r^2\times 0.07$

$C(r)=\frac{8}{r}+0.14\pi r^2$

Differentiate w.r.t r

$C'(r)=-\frac{8}{r^2}+0.28\pi r$

$C'(r)=0$

$-\frac{8}{r^2}+0.28\pi r=0$

$0.28\pi r=\frac{8}{r^2}$

$r^3=\frac{8}{0.28\pi}=9.095$

$r=(9.095)^{\frac{1}{3}}=2.09$

Again, differentiate w.r.t r

$C''(r)=\frac{16}{r^3}+0.28\pi$

Substitute the value of r

$C''(2.09)=\frac{16}{(2.09)^3}+0.28\pi=2.63>0$

Therefore,the product cost is minimum at r=2.09

h= $\frac{200}{\pi (2.09)^2}=14.57$

Radius of can,r=2.09 cm

Height of cone,h=14.57 cm

4 0

3 years ago

In the book 365 Penguins, the family received a new penguin each day. They received their first penguin on January 1st and this

Eddi Din [679]

Answer:

181 penguins on the last day of June.

250th penguin on 7 September.

Step-by-step explanation:

We have been given that in the book 365 Penguins, the family received a new penguin each day. They received their first penguin on January 1st and this pattern continued throughout this non-leap year.

First of all we need to find number of days in January to June.

January has 31 days, February has 28 days (Not a leap year), March has 31 days, April has 30 days, May has 31 days and June has 30 days.

$\text{Days from January to June}=31+28+31+30+31+30$

$\text{Days from January to June}=181$

Since penguin family receives 1 penguin each day, so 181 penguins will be in 181 days.

Therefore, the penguin family will have 181 penguins on the last day of June.

Now, we need to find the day, which will be on 250th day.

We already know that 181st day would be 30th June.

We know that July and August each has 31 days, so we will add 62 days to 181 that is $181+62=243$ .

243rd day would be 31st August.

Now, we will add 7 days to 243 days to get 250th day.

Since next month to August is September, therefore, the family will receive 250th penguin on 7 September.

6 0

3 years ago

In What quadrant is the point (-5, -5) located

sineoko [7]

Answer:

Since both values are negative, it can be found in the 3rd quadrant

<em>Feel free to mark this as brainliest :D</em>

4 0

3 years ago

3.541 and 41 is repeated, what would it be as a simplified fraction?

qwelly [4]

Answer: 3.5

Step-by-step explanation: Because the 4 and 1 aren’t big enough to change the 5 to go up the final answer would be 3.5 but if the 4 were to be a 5 or a number higher than the 5 would change to a 6.

8 0

3 years ago

For 33 hrs of work you are paid 252.45 how much would you receive for 36 hours

poizon [28]

For 33 Hours, It is = $252.45

Now, for 1 Hour, It is 252.45 / 33 = 7.65

Now, For 36 hours, It would be: 7.65 * 36 = 275.4

In short, Your Answer would be: $275.4

Hope this helps!

3 0

3 years ago