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
almond37 [142]
3 years ago
13

The fish tank has side lengths 20in, 10in and height 15in. The water level is two inches below the top of the tank. A glass sphe

re of radius 1in is dropped in to the tank. What is the new distance from the water to the top of the tank? How many of these balls can be put into the tank with the tank not overflowing?
Mathematics
1 answer:
Kitty [74]3 years ago
4 0

Answer:

Part 1) The new distance from the water to the top of the tank is 1.979\ in

Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95

Step-by-step explanation:

step 1

Find the total volume of the tank

V=20*10*15=3,000\ in^{3}

step 2

Find the volume of the tank if the water level is two inches below the top of the tank

V=20*10*(15-2)=2,600\ in^{3}

step 3

Find the volume of the glass sphere

The volume of the glass sphere is equal to

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

we have

r=1\ in

assume

\pi=3.14

substitute

V=\frac{4}{3}(3.14)(1)^{3}

V=4.2\ in^{3}

step 4

What is the new distance from the water to the top of the tank?

we know that

2 in -----> represent (3,000-2,600)=400\ in^{3}

so

using proportion

Find how many inches correspond a volume of 4.2\ in^{3}

\frac{2}{400}\frac{in}{in^{3}}=\frac{x}{4.2}\frac{in}{in^{3}}\\ \\x=4.2*2/400\\ \\x=0.021\ in

The new distance from the water to the top of the tank is

2-0.021=1.979\ in

step 5

Find how many of these balls can be put into the tank with the tank not overflowing

we know that

The volume of one ball is equal to  4.2\ in^{3}

using proportion

\frac{1}{4.2}=\frac{x}{400}\\ \\x=400/4.2\\ \\x=95.23\ balls

therefore

The maximum number of balls that can be put into the tank with the tank not overflowing is 95

You might be interested in
Simplify this expression. <br> 6x2(3x)<br><br> 18x2 <br><br> 18x3<br><br> 108x2<br><br> 108x3
vazorg [7]
A) 18x2 = 36



hope I helped 
Best of luck :)
8 0
3 years ago
**Solve by Elimination<br> 3 + 2x - y = 0<br> -3-7y = 10x<br> 7) x =<br> 8) y =
timofeeve [1]
Answer:

Explanation:

3 + 2x - y = 0
Or 2x - y = -3 (1)

-3-7y = 10x
Or -10x - 7y = 3 (2)

2x - y = -3 (1)
-10x - 7y = 3 (2)
———————

Multiply 5 to (1)

5(2x - y = -3)
-10x - 7y = 3
———————
10x - 5y = -15
-10x - 7y = 3
———————
-12y = -12
y = -12/-12
y = 1

Plug y value in (1)

2x - 1 = -3
2x = -3 + 1
2x = -2
x = -2/2 = -1

Therefore, x = -1 and y = 1
7 0
2 years ago
What characteristics make terms "like terms?"
Novay_Z [31]

Answer:

same variable and same exponent

3 0
3 years ago
Read 2 more answers
What is the value of x?
vekshin1

Answer:

12, im pretty sure

Step-by-step explanation:

5 0
2 years ago
Starting from the same place money goes 3.5 km/hr towarde north and Bonny goes 8.5 km/hr towards south. what will be the distanc
Vesnalui [34]

Answer:D=rt

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Polygon ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to create A'B'C'D'. If the endpoints of
    15·1 answer
  • HELP WHAT IS 2+2!!!!!
    6·2 answers
  • What is the quotient of 34.1 divided by 100
    14·2 answers
  • How do you add 1/3 and 1/6 together?
    13·2 answers
  • Round the following decimal to the nearest tenth.<br><br>543.67 ◯543.6 ◯543.68 ◯543.7 ◯543.670 ◯544​
    14·2 answers
  • Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour. Each month, he wants to complete at least 36
    8·2 answers
  • Nadia bought 3 packs of baseball cards. Each pack had the same number of cards. She gave 5 cards to her sister. Now she has 19 c
    9·1 answer
  • What is the solution to the equation StartRoot 5x-7 EndRoot = StartRoot 3x+5 EndRoot
    11·1 answer
  • A horizontal line passes through the point (5, –1). Which point is also on this line?
    11·1 answer
  • HELP DUE IN 20 MINS!!!!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!