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]
3 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]3 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
Evaluate log3^8, given log3^2 is equivalent to 0.631
elixir [45]

We will use the followin property of logarithms:


log(a^b) = b log(a)


So, we have


log(3^2) = 2 log(3) = 0.631


If you multiply both sides by 4, you get


8log(3) = log(3^8) = 2.524

7 0
3 years ago
A Best Eastern Motel is a regional motel chain. Its rooms rent for $90 per night, on average. The variable cost is $40 a room pe
Vlad1618 [11]

Answer: break even point  (y) = 24000

Step-by-step explanation:

This is quite simple to solve,

We will take a step by step calculation.

let us begin;

Given that the Room rent per night is = $90

Also the variable cost per night = $40

Total fixed cost = $1200,000

Now we are asked to solve for the Break even point;

Remember that at break even point, the Revenue = cost

Say the required revenue from renting y rooms R = $90y

The cost of renting y rooms = C = $ (40y + 1200,000)

therefore from this we have the Break even point as

$90y = $ (40y + 1200,000)

where y = 24000

cheers i hope this helps!!!!!!

4 0
3 years ago
Read 2 more answers
Each person eats 2/3 of a pound of turkey. how many pounds of turkey will be needed for 8 people
dezoksy [38]
Multiply 2/3 by 8 and you will get 16/3 or 5.33 repeating.
4 0
3 years ago
Read 2 more answers
Write a expression that uses partial products to multiply 8 x 64
krok68 [10]
8 x 64
=64 x 2 x 4
=128 x 2 x 2 
=256 x 2
=512
3 0
3 years ago
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs ​$69. A season ski pass costs ​$350. The
zalisa [80]

Divide the season pass cost by the daily capstone:

350 / 69 = 5.07

They would have to ski 6 days for the season pass to be less expensive

7 0
3 years ago
Other questions:
  • Can someone help me find the answer for M>5
    15·2 answers
  • The number of hours walked varies inversely with the speed of the walker. if it takes sam 12 hours to complete his walking goal
    12·1 answer
  • Which values from the given replacement set make up the solution set of the inequality? m+7 < 18 ; {8,9,10,11}
    13·2 answers
  • Factor by grouping. a2 + ab – 56b2
    11·2 answers
  • Help me please I’m so lost
    7·1 answer
  • Kiera baked 30 Oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her teacher friends at school.
    15·1 answer
  • Which pairs of angles in the figure below are vertical angles?
    8·1 answer
  • Last week at the park, Heather ran 4 miles in 48 minutes. When she runs her next race, she hopes to improve her time by 2 minute
    5·1 answer
  • Does 2,4,5 make a right triangle
    5·2 answers
  • Select the expression that is equivalent to m(y + o).
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!