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]
3 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]3 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
Pls help with these questions, will give BRAINLIEST (if you know the answer)
Anika [276]

I don't know but these can be really difficult

good luck

8 0
3 years ago
Maggie’s bank has assigned her a temporary 3-digit PIN to use with her ATM card. Each digit is a number from 1 to 5, inclusive,
Svetradugi [14.3K]

Answer:

Step-by-step explanation:

1/5* 1/4 * 1/3

I think it is the second one

one fifth

one fourth

one third

5 0
3 years ago
Read 2 more answers
One of the events at the circus starred Gabriella the Human Cannonball. On Saturday she performed in four shows. Shot from a can
34kurt
Answer: 59.49 meters
In this case, Gabriella flew 4 times with different distance. To answer this question you just need to add all the distance, The calculation would be:

Total distance = distance 1 + distance 2 + distance 3 + distance 4
Total distance = 8.05 meters+ 17.71 meters + 14.38 meters + 19.35 meters= 59.49 meters.
3 0
3 years ago
HELP!! URGENT!! GIVING AWAY 50 POINTS to correct answer!!
NNADVOKAT [17]

The figure seems like its a parallelogram.

In a parallelogram :
Opposite sides are equal and
Opposite angles are equal
Hence, The side opposite to 9in. is equal to 9in. and the side opposite to 10in. is equal to 10in.

Area of the figure =b×h
= 8×10
=80in.sq.

7 0
3 years ago
Read 2 more answers
A rectangular table is 22.5 inches wide and 31 inches long using the Pythagorean theorem what is the length of the diagonal of t
Stolb23 [73]
38
(Rounded it up from 38.305)
4 0
3 years ago
Other questions:
  • One third of the square root of which number is 0.001
    7·1 answer
  • It is given that 2(3 + x) = 6 + 2x. This is an example of the ___________ property.
    6·2 answers
  • How would you use operations and grouping symbols to rewrite your answer as a numerical expression.
    12·1 answer
  • Which prism has a greater surface area?
    9·1 answer
  • Pls HELP ive been trying to figure this out forever!!!
    9·1 answer
  • An angle measures 40° . What is the measure of its complement?
    9·1 answer
  • Barry’s bagel emporium sells a dozen bagels for $5.00. this price is no longer high enough to create a profit. the owner decides
    10·2 answers
  • Ms. Owens has some pencils . She give 5 of them away. Now she has 13 pencils left. How many pencils did she start with?
    10·2 answers
  • Need answers before 12:13
    6·1 answer
  • Hi please help !!! With steps as well please!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!