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
MatroZZZ [7]
3 years ago
15

This robotic arm is made up of two cylinders with equal volume and two triangular prism hands. The volume of each hand is

Mathematics
2 answers:
Luda [366]3 years ago
8 0

Answer:

r/(9.42H + r),

where H is each cylinder's height

Step-by-step explanation:

Volume of hands:

2 × ½t × ⅓r × 2r = ⅔r³

Let H be the height of each cylinder

Total volume:

2(3.14×r²×H) + ⅔r³

(6.28H + ⅔r)r²

Ratio:

[⅔r³] ÷ (6.28H + ⅔r)r²

r ÷ (9.42H + r)

r/(9.42H + r)

BaLLatris [955]3 years ago
6 0

Answer:

\frac{r}{3\pi h+r}

Step-by-step explanation:

Since the height isn't given, we assume it to be "h" (of cylinders). And the answer will be in terms of "r" and "h".

The area of 1 arm is given, so the area of 2 arms would be:

A_{arm}=2*(\frac{1}{2}r*\frac{1}{3}r*2r)=\frac{2r^3}{3}

Now, area of 2 cylinders would be the formula:

A_{cyl}=2*(\pi r^2 h)=2\pi r^2 h

So, total area is A_arm PLUS A_cyl. The fractional area the arms are would be gotten by taking expression A_arm  divided  by A_total.

Shown below:

\frac{A_{arm}}{A_{total}}=\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}

We simplify further:

\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}\\=\frac{\frac{2r^3}{3}}{2r^2(\pi h + \frac{r}{3})}\\=\frac{r}{3(\pi h + \frac{r}{3})}\\=\frac{r}{3\pi h+r}

THis is the answer.

You might be interested in
The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's simple interest rate r.
Virty [35]

A = P + SI

A-P = SI

5425-5000 = 425

THEREFORE THE SIMPLE INTRESTE IS $425

SI = PTR/100

425 = 5000×1×R/100

425×100/5000×1=R

425×100÷5,000×1 = 8.5%

THEREFORE THE RATE IS 8.5%

8 0
3 years ago
Read The question and give Me The answer for number 17
Andre45 [30]

Answer:

( - 5,2);( -2, -3); (4, -1)

So your answer is: A.

3 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (4,−2) and has a slope of -2
Zepler [3.9K]

Answer:

y = -2x + 6

Step-by-step explanation:

Point slope form is y - y1 = m(x-x1)

y - (-2) = -2(x-4)

y + 2 = -2x + 8

y = -2x + 6

4 0
3 years ago
Write two decimals that can be rounded to 2.5
zheka24 [161]
2.48 can be rounded pretty much any number between 2.45 to 2.5
<span />
8 0
3 years ago
Read 2 more answers
Eight cards are marked 3, 4, 5, 6, 7, 8, 9, and 10 such that each card has exactly one of these numbers. A card is picked withou
lawyer [7]

Answer: 3/8, 0.375, 37.5%

Step-by-step explanation:

Count the number of cards with odd numbers that are greater than 4. 5, 7, and 9 are odd numbers greater than 4. There are 3 cards with odd numbers greater than 4. Probability is found by dividing this by the total number of cards, 8. This gets you a fraction of 3/8.

6 0
2 years ago
Other questions:
  • Which one is equivalent
    11·1 answer
  • Which is the completely factored form of 12x3 – 60x2 + 4x – 20?
    8·2 answers
  • Tiffany buys a basket of watermelons on sale for $9 b4 the sales tax ,The sales tax is 9%
    11·1 answer
  • Find the length of the unknown side. Round your answer to the nearest whole number. (4 points) Image of a right triangle with le
    6·1 answer
  • Please, help I don’t understand what im supposed to do.
    12·1 answer
  • X=18+9/2y help <br> Me please
    9·1 answer
  • Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:
    9·1 answer
  • A watering can contained 512 quarts water. After all the plants were watered, only 4 cups remained. How many cups of water were
    5·1 answer
  • 3. Will Question 1 be positive or negative?<br> (5 Points)<br> Positive<br> Negative
    8·1 answer
  • The estimate of the population proportion should be within plus or minus 0.02, with a 90% level of confidence. The best estimate
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!