TaraDean
08.04.2020 •
Mathematics
An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 3 cm, and the height is 10 cm. Find the rate at which the water level is rising when the water level is 3 cm.
Solved
Show answers
More tips
- W Work and Career Secrets of Punctuality: How to Learn to Never Be Late?...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
Answers on questions: Mathematics
- M Mathematics Chloe made this scale drawing of the gym floor using a scale of 1 cm = 4 m...
- M Mathematics Triangle pqr has vertices p(-3, -1), q(-1, 7), and r(3, 3), and point a and b are midpoints of pq and rq, respectively. use coordinate geometry to prove (a) ab is parallel...
- M Mathematics At a carnival, there is a game where you can draw one of 20 balls from a bucket. the balls are numbered from 1 to 20. if the number on the ball is even, you win $28....
- M Mathematics 3. look for a pattern to determine the next two numbers in the list. show your work. (5 points) 200, 188, 176, 164,...
- M Mathematics 4. leslie and corey are brother and sister. leslie is 5 years older than corey, and the sum of their ages is 51. find their ages. show your work. (5 points) guessed...
- M Mathematics How many tickets with different points of origin and destination can be sold on a bus line that travels a loop with 20 stops? different tickets can be sold....
- M Mathematics As a fundraiser, the music club sold shirts. they sold a total of 40 shirts. children s shirts cost $13 and adult shirts cost $17. if they collected a total of $588...
- M Mathematics Agardener has 35 clients,40% of whom are businesses. find the number of business clients...
- M Mathematics Homework: algebra review score: 0 of 1 pt *8.3.13 simplify the product using the distributive property. (7w+6)(9w-5) (7w+6)(9w-5)= (simplify your answer.)...
- M Mathematics 1. in the morning a farm worked packed 3 pints of grapes every 4 minutes. in the afternoon packed 2 pints of grapes every 3 minutes. what was the difference between...
Ответ:
When the water level is 3 cm, the rate at which the water level is rising is 30.86 cm/s.
Step-by-step explanation:
We first have to relate the height H of the pyramid with the volume V.
The volume of the pyramid is V=Sh/3, being S: area of the base square, and h: height of the pyramid.
The base is changing as the pyramid is filled with water.
Then, the volume for every height is:
The side of the square will grow linearly with the height. They start at H=0 and L=0 at the bottom of the pyramid, and they end at H=10 and L=3.
So we have:
If we replace in the volume equation we have:
We know that the rate of variation of the volume in time is contant and equal to 25 cm3:
We can derive the volume equation to calculate the variation of h in time:
The rate of variation of the height in time is dh/dt=278h^(-2). The units are cm/s.
When the water level is 3 cm, the rate at which the water level is rising is:
Ответ:
26
Step-by-step explanation:
10 x 4 = 40
6.5 x 4 = 26