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
Olegator [25]
3 years ago
11

The volume of a sphere whose diameter is 18 centimeters is π cubic centimeters. If its diameter were reduced by half, its volume

would be of its original volume.
Mathematics
1 answer:
lbvjy [14]3 years ago
5 0

Answer:

3053.5517 cm^3 ; 1/8

Step-by-step explanation:

Given the following :

Volume (V) of sphere = (4/3)πr^3 where r = radius

Diameter of sphere = 18 ; radius(r) = diameter / 2 = 18/2 = 9cm

V = (4/3) × π × 9^3

V = 1.3333 × π × 729

V = 3053.5517 cm^3

When diameter(d) is reduced to half

d = d/2

Volume (V1) of sphere with diameter 'd' =

V1 = (4/3)π(d/2)^3

Volume (V2) of sphere with diameter 'd' reduced to half, d = d/2, d/2 * 1/2 = d/4

V2 = (4/3)π(d/4)^3

V1 / V2 = [(4/3)π(d/2)^3] / [(4/3)π(d/4)^3]

V1 / V2 = (d/2)^3 / (d/4)^3

V1 / V2 = [d^3 / 2^3] / [d^3 / 4^3]

V1 / V2 = 8 / 64

V1 / V2 = 1 / 8

You might be interested in
Jill and Gary share £63 in the ratio 2:5<br> Work out how much each person gets.
irina [24]

Answer:

Jill gets €18 Gary gets €45.

Step-by-step explanation:

First you add the two numbers of the ratio together. 2+5=7. Then you divide the constant, 63, by the total of the ratio, 7. 63/7=9. Then you multiply each number of the ratio by the quotient. 2 x 9= 18. 5 x 9= 45.

4 0
3 years ago
If
Nikolay [14]

Answer:

46

Step-by-step explanation:

4 x 2= 8

3 x 5= 15

2(8 +15)= 2(23)=

23 x 2= 46

8 0
2 years ago
Read 2 more answers
There are 850 Douglas fir and Ponderosa pine trees in a section of forest bought by Karamazov Logging Co. The company paid an av
ki77a [65]

Answer:

350 Douglas fir, 500 Ponderosa pine

Step-by-step explanation:

 Let f = the number of fir trees

and p = the number of pine trees.

Then, we have two conditions:

(1)                                f + p = 850

(2)                  300f + 225p = 217 500

(3)                                    p = 850 -f         Subtracted f from each side of (1)

(4)       300f + 225(850 - f) = 217 500     Substituted (3) into (3)

      300f + 191 250 - 225f = 217 500     Distributed 225

                    75f + 191 250 = 217 500     Distributed the 7

                                    75f = 26 250      Subtracted 191 250 each side

(5)                                     f = 350

                             350 + p = 850           Substituted (5) into (1)

                                        p = 500          Subtracted 350 from each side

The company bought 350 fir trees and 500 pine trees.

Check:

(1) 350 + 500 = 850     (2) 300 × 350 + 225 × 500 = 217 500  

              850 = 850                  105 000 + 112 500 = 217 500

                                                                   217 500 = 217 500

OK.

8 0
3 years ago
98 POINTS!<br> d(e-f)=g<br> Solve For f.
Lubov Fominskaja [6]

d (e - f) = g

de - df = g

df = de - g

f = ed - g/d

Hope helps-Aparri

5 0
2 years ago
Read 2 more answers
Please help me with this Question
lutik1710 [3]
I did a good time at work but I got to get it done I got my car back and I’m gonna was a great
4 0
2 years ago
Other questions:
  • A right rectangular prism has a volume of 470.40 cm³. The length of the solid is 6.4 cm and the width is 9.8 cm.
    12·2 answers
  • Simplify the expression<br> 8s - 11s + 6
    15·2 answers
  • Which of the following best describes the slope of the below
    15·1 answer
  • I NEED HELP FAST LIKE REAAAAAL FAST!
    15·1 answer
  • What value of H makes the equation true
    7·1 answer
  • Which polygon is a base of the triangular prism?
    12·1 answer
  • Question 19 of 25 -
    7·1 answer
  • Given: Two concentric circles with AB tangent to smaller circle at R<br> Prove: AR=RB
    11·2 answers
  • Sinxcosy=1/2(sin(x+y)+cos(x-y)) <br>True or False? <br><br>Thanks for the help!
    6·1 answer
  • Using Figure A above name three obtuse angles.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!