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
Agata [3.3K]
2 years ago
8

Your friend's swimming pool is in the shape of a rectangular prism, with a length of 25 feet, a width of 8 feet, and a height of

5 feet. a. What is the volume of your friend's swimming pool? b. Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool? Round your answer to the nearest whole number. c. While you were on vacation, 6 inches of water evaporated from your pool. About how many gallons of water evaporated from your pool? ( ) 3 1 ft 7.5 gal ? Round your answer to the nearest whole number.
Mathematics
1 answer:
RUDIKE [14]2 years ago
5 0

Answer:

Part a) V=1,000\ ft^{3}

Part b) h=5\ ft

Part c) =718\ gal

Step-by-step explanation:

Part a) What is the volume of your friend's swimming pool?

we know that

The volume of a rectangular prism is equal to

V=LWH

substitute the values

V=(25)(8)(5)=1,000\ ft^{3}

Part b) Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool?

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

we have

V=1,000\ ft^{3}

r=16/2=8\ ft ----> the radius is half the diameter

substitute and solve for h

1,000=\pi (8)^{2} h

h=1,000/(64 \pi)

h=1,000/(64*3.14)=5\ ft

Part c) While you were on vacation, 6 inches of water evaporated from your pool. About how many gallons of water evaporated from your pool?

remember that

1\ ft=12\ in

so

6\ in=6/12=0.5\ ft

Find the volume of water  for h=5-0.5=4.5\ ft

V=(3.14)(8)^{2}(4.5)=904.32\ ft^{3}

so

the volume of water evaporated is equal to

1,000\ ft^{3}-904.32\ ft^{3}=95.68\ ft^{3}

convert to gallons

remember that

1\ ft^{3}=7.5\ gal

so

95.68\ ft^{3}=95.68*7.5=718\ gal

You might be interested in
The midpoint of \overline{\text{AB}}
Schach [20]

Answer:

<em>The coordinates of b are: B=(-7,-8)</em>

Step-by-step explanation:

We are given the coordinates of the midpoint of \overline{\text{AB}} as M=(-5,-2).

We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.

Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:

\displaystyle x_m=\frac{x_a+x_b}{2}

\displaystyle y_m=\frac{y_a+y_b}{2}

We know xa=-3 and xm=-5. Solve the first equation for xb:

2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a

Substituting:

x_b=2\cdot (-5)-(-3)=-10+3

x_b=-7

We can solve the second equation for xb and get:

y_b=2y_m-y_a

Since ya=4 and ym=-2, then:

y_b=2\cdot (-2)-(4)=-4-4

y_b=-8

Thus, the coordinates of b are: B=(-7,-8)

4 0
3 years ago
How to rename the number 600,000
lilavasa [31]
Word form:
six hundred thousand


4 0
3 years ago
Read 2 more answers
If the dimensions of a pentagonal prism are quadrupled, then the surface area of the prism is multiplied by eight.
Lubov Fominskaja [6]

Answer:

false

Step-by-step explanation:

the relationship between lengths/dimensions and areas is that areas are created by multiplying 2 dimensions.

when you quadruple (×4) the dimensions, then the areas are growing with the square of the factor (×4×4 = ×16), because the factor goes twice into the multiplication : one time for every dimension involved.

so, quadrupling the dimensions would multiply the areas by 16.

8 0
2 years ago
Find the area of the shaded triangle
Ivanshal [37]

Answer:

18 square units

Step-by-step explanation:

The square shows you the width and height of the triangle.

The area of any triangle if equal to 0.5 * width * height, so:

0.5 * 6 * 6 = 3 * 6 = 18 square units.

6 0
2 years ago
Can you form a triangle with the following segments 6,5,3?
LenaWriter [7]

Answer:

yes

Step-by-step explanation:

the sum of any two sides must be greater than the length of the remaining side in order to be able to form a triangle.

5+3=8

3+6=9

6+5=11

Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, stay safe and wash your hands/wear a mask when in public. Happy Holidays.

4 0
2 years ago
Other questions:
  • I need help please.<br> Solve the inequality.<br><br> 3/4b&gt;-9/8
    5·1 answer
  • If a car moves with an average speed of 60 km/h for an hour, it will travel a distance of
    10·1 answer
  • Dakota tiled a floor with tiles that look like this:
    6·1 answer
  • What is the equation of a circle with center (6,-4) and radius 6?
    13·2 answers
  • F = 9/5 C + 32 : is the formula used to convert degrees Celsius to degrees Fahrenheit. Convert 35°C to degrees Fahrenheit.
    13·1 answer
  • HELP RN PLEASE!!! Jesse has a total of $2.90 in quarters and dimes. If Jesse has a total of 17 coins, how many quarters does Jes
    14·2 answers
  • Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample o
    6·1 answer
  • Area of a rectangle is 272.4 m if the length is 15 m what is the perimeter of the rectangle
    8·2 answers
  • 700,000,000+60,000,000+8,000,000+90,000+2,0000+50+4
    11·1 answer
  • Find the missing probability
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!