menu
Qammunity.org
Login
Register
My account
Edit my Profile
Private messages
My favorites
The ratio of the volumes of the two spheres is 27:343 and the sum of their radii is 10 units. Find the radius of the smaller sphere.
Ask a Question
Questions
Unanswered
Tags
Ask a Question
The ratio of the volumes of the two spheres is 27:343 and the sum of their radii is 10 units. Find the radius of the smaller sphere.
asked
Nov 22, 2017
101k
views
3
votes
The ratio of the volumes of the two spheres is 27:343 and the sum of their radii is 10 units. Find the radius of the smaller sphere.
Mathematics
high-school
Smithjonesjr
asked
by
Smithjonesjr
8.4k
points
answer
comment
share this
share
0 Comments
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1
Answer
5
votes
r + R = 10
4/3 r³ π : 4/3 R³ π = 27 : 343
r ³ : R ³ = 27 : 343 / ∛
r : R = 3 : 7
3 R = 7 r
R = 7 r / 3
r + 7 r / 3 = 10 / · 3
3 r + 7 r = 30
10 r = 30
r = 30 : 10
r = 3
Answer:
the radius of the smaller sphere is 3.
Dhaval Bharadva
answered
Nov 26, 2017
by
Dhaval Bharadva
8.7k
points
ask related question
comment
share this
0 Comments
Please
log in
or
register
to add a comment.
← Prev Question
Next Question →
Related questions
asked
Feb 18, 2018
7.0k
views
What is the ratio for the volumes of two similar spheres, given that the ratio of their radii is 2:7? A. 49:4 B.8:343 C.343.8 D.4:49
Ramiro Herrera
asked
Feb 18, 2018
by
Ramiro Herrera
8.2k
points
Mathematics
high-school
1
answer
5
votes
7.0k
views
asked
Nov 25, 2020
1.7k
views
what is the ratio for the volumes of two similar spheres given that the ratio of their radii is 4:7 A.)343:64 B.)49:16 C.)16:49 D.)64:343
Michael Barton
asked
Nov 25, 2020
by
Michael Barton
8.8k
points
Mathematics
middle-school
2
answers
1
vote
1.7k
views
asked
Jan 25, 2018
112k
views
Can someone tell me the answer and explain how to find it. What is the ratio for the volumes of two similar cylinders, given that the ratio of their heights and radii is 3:7? A) 27:343 B)343:27 C)9:49
Miroslav Nedyalkov
asked
Jan 25, 2018
by
Miroslav Nedyalkov
8.5k
points
Mathematics
high-school
1
answer
3
votes
112k
views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.
9.4m
questions
12.2m
answers
Categories
All categories
Mathematics
(3.7m)
History
(955k)
English
(903k)
Biology
(716k)
Chemistry
(440k)
Physics
(405k)
Social Studies
(564k)
Advanced Placement
(27.5k)
SAT
(19.1k)
Geography
(146k)
Health
(283k)
Arts
(107k)
Business
(468k)
Computers & Tech
(195k)
French
(33.9k)
German
(4.9k)
Spanish
(174k)
Medicine
(125k)
Law
(53.4k)
Engineering
(74.2k)
Other Questions
How do you can you solve this problem 37 + y = 87; y =
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy
Search Qammunity.org