answer.
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
Liono4ka [1.6K]
2 years ago
9

A cylinder is filled up with water to 3 4 its total capacity. The solid sphere is dropped completely into the cylinder. How high

up the container will the water reach after the sphere is fully submerged? Give your answer rounded to 1 DP.
Mathematics
1 answer:
Olenka [21]2 years ago
8 0

Answer:

30.3 cm

Step-by-step explanation:

Suppose the height is h after the sphere is full submerged.

4/3\piR³ = \pir²(h-30) The volume of the sphere is equal to the volume

4/3\pi x(10/2)³=\pi × (14/2)²(h-30)  of the water surface rising

4/3 × 125 = 49 × (h-30)

h - 30 = 49 × 3/4 × 125

h - 30 = 0.3

h = 30 + 0.3

h = 30.3 cm

You might be interested in
Which of the following best describes the expression 7x + 2y?
anastassius [24]
A.The sum of two products; there are two terms
5 0
2 years ago
Read 2 more answers
The top of a ladder is 4m up a vertical wall.The bottom is 2m from the wall.The coordinate axes are the wall and the horizontal
mash [69]

Answer:

Part a) y=-2x+4

Part b) The coordinates of the point are (\frac{4}{3},\frac{4}{3})

Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

(0,4) and (2,0)

Find the slope

m=(0-4)/(2-0)=-2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-2\\b=4

substitute

y=-2x+4

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate

x=y

y=-2x+4

substitute

x=-2x+4\\3x=4\\x=\frac{4}{3}

y=x=\frac{4}{3}

therefore

The coordinates of the point are (\frac{4}{3},\frac{4}{3})

6 0
2 years ago
Estimate the unit rate to the nearest hundredth.<br><br> $1.19 per 12fl oz price of 1 fl oz
Korvikt [17]
To find the unit rate you need to divide the 1.19 by 12 so that the ounces would be the price per 1 ounce.
1.19/12 = .099 per ounce
Since we are talking about money your answer needs to be rounded to TWO decimals unless told otherwise.
Rounding .099 would be $ 0.10 per ounce
7 0
2 years ago
Read 2 more answers
Logan can read at a rate of 2/3 page per minute. At that rate, how many pages can he read in 2 hours?
Anon25 [30]

Answer:

240- 360

Step-by-step explanation:

You have to find out how many minutes in an hour which is 60. Then multiply it by 2 for 2 hours to get 120. Then you multiply 2x120 to get 240. Then you multiply 3x120 to get 360.

I'm not sure if this is correct but this is how I would go about it. :)

7 0
2 years ago
Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the
STatiana [176]
480 pennies.

25% are dated before 1980, therefore:
1200(total):100 = 12 (1%)
12(1%)x25 = 300 (25%)

35% are dated from 1980 to 2000, therefore:
12(1%)x35 = 420 (35%)

25% are dated before 1980, 35% are dated from 1980 to 2000 and the rest are dated after 2000.
25% + 35% = 60%.
300(25%) + 420(35%) = 720.
60% = 720.
100%-60% = 40%.
40% is the amount of pennies that are dated after 2000.

The total (100%) of the pennies is 1200.
We also know that 60% of the total (1200) is 720.

1200(100%) - 720(60%) = 480(40%).

Therefore, the amount of pennies dated after 2000 in Russell’s Collection is 480.
7 0
2 years ago
Other questions:
  • a model car is one tenth of the size of the real car the models measures 42cm longs what the length of length of the real car
    10·2 answers
  • Leonard made some muffins. He gave 5/8 of them to his grandmother and 10 muffins to his aunt. He had 11 muffins left. How many m
    12·2 answers
  • The gross income of Abelina Bennett is $215 per week. Her deductions are: $15.16, FICA tax; $29.33, income tax; 2% state tax; 1%
    14·1 answer
  • Cylinder A has a volume of 360 cm3. Cylinder B has a base and height identical to that of cylinder B, but leans to the right in
    12·1 answer
  • The function c=15+9h represents the amount c ( in dollars) it will cost you for a one time lawn care service of h hours. Identif
    9·1 answer
  • The following differential equation is separable as it is of the form dP/dt = g(P)h(t).
    11·1 answer
  • The circle is inscribed in triangle PRT. A circle is inscribed in triangle P R T. Points Q, S, and U of the circle are on the si
    15·2 answers
  • Point Q is the centroid of △ABC. QE = _____
    9·1 answer
  • Which value of m will create a system of parallel lines with no solution? y=mx-6 8x-4y=12 A coordinate grid with one line labele
    11·1 answer
  • In a board game, a certain number of points is awarded to a player upon rolling a six sided die (labeled 1 to 6) according to th
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!