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
frez [133]
2 years ago
15

Approximate the change in the volume of a sphere when its radius changes from r= 5ft to r= 5.1ft (v(r)= 3/4 pi r^3)?

Mathematics
1 answer:
leva [86]2 years ago
4 0

Answer:

18.03 cubic feet

Step-by-step explanation:

Hello,

Step 1

find the volume of the sphere when radius= 5 ft

v(r)= \frac{3}{4} \pi r^3\\v(5)= \frac{3}{4}\pi (5\ ft)^3\\v(5)= \frac{3}{4}\pi *125\ ft^{3} \\v(5)=294.52\ cubic\ feet\\

Step 2

find the volume of the sphere when radius= 5.1 ft

v(r)= \frac{3}{4}\pi r^3\\v(5.1)= \frac{3}{4} \pi (5.1\ ft)^3\\v(5.1)= \frac{3}{4}\pi *132.651\ ft^{3} \\v(5.1)=312.551\ cubic\ feet\\\\

Step 3

Compare the Volumes to find the change

\frac{v(r_{2})}{v(r_{1})} =\frac{312.551}{294.52} =1.06

the volumen of the sphere with radius = 5.1 is 1.06 times bigger than the first one(r=5)

Now, find the change

change= {v(r_{2})-{v(r_{1})}} \\change=312.551\ cubic\ feet\ -294.52 cubic feet \\ change=18.031\ cubic\ feet

change=18.03 cubic feet

Have a great day.

You might be interested in
Solve.
Troyanec [42]
I would say that There is no Solution
7 0
3 years ago
Read 2 more answers
Find the selling price of the following item.<br> Original price of an iPod: $350<br> Discount 20%
Nata [24]

Answer: 280 dollars

Step-by-step explanation:

if the IPOD is 350,

10% out of 350 is 350/10=35

20% is 35*2=70

the price will be 350-70=280

4 0
2 years ago
Collins spent $8 at lunch. He spent $24 on new shoes. His shoeswere how many more times expensive than his lunch
kati45 [8]

Collins’ new shoes were 3 times the amount of his lunch. You’re welcome!

5 0
3 years ago
Read 2 more answers
Choose the correct ordered pairs represented in the table. The following table gives per unit cost for furniture and shows selli
erastova [34]
Given the table

C :     1, 2, 3,   4,   5

F(C) : 4, 6, 8, 10, 12

Usually, the independent variable is represented by the x-value while the dependent variable (or the function) is represented by the y-value.

Thus the points represented by the table are:

(1, 4), (2, 6), (3, 8), (4, 10) and (5, 15).
5 0
3 years ago
5-7:
garri49 [273]
The 3 panes would cost $7.65.
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is 1.83 repeated as a fraction
    5·2 answers
  • Evey month the bank withdraws $15 from netsy checking account as a service fee . Betsy had budgeted $75 for the next few fees se
    11·1 answer
  • F(x) = –2x2 + 17<br> Find f(10)
    10·2 answers
  • Find the slope of the line using (4,-4) (8,-1) (0,-7) (-4,-10)
    11·2 answers
  • A store sells​ tents, sleeping​ bags, and camp stools. A customer buys a​ tent, 3 sleeping​ bags, and 4 camp stools for ​$170. T
    5·2 answers
  • Evaluate -5 exponent 3
    14·1 answer
  • 2x - 1y = 6<br> -3y = -6x + 18<br><br> please explain how you got your answer thank you :)
    5·2 answers
  • The Steelers beat the Seahawks by 10 points. The total points scored between both teams was 44. How many points did the Seahawks
    5·1 answer
  • A recipe that will make 3 pies calls for 7 cups of flour? Find how many pies can be made with 42 cups of flour.
    8·1 answer
  • Can someone PLEASE help ASAP !
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!