Volumes of two spheres are in the ratio 125:27. (a) find the ratio of their surface areas. (b) if difference of the radii is 10 cm, find the radius of each sphere.
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Answered by
15
let V1 and V2 are volume of two spheres
a/c question
V1/V2=125/27
(R1/R2)^3=(5/3)^3
R1/R2=5/3-------------(1)
a)
A1/A2=(R1/R2)^2=25/9
hence area ratio is 25:9
b)
a/c question
R1-R2=10cm
from equation (1)
R2=5/3R1
use this
5/3R1-R1=10
R1 (5/3-1)=10
R1=15cm
R2=5/3 (15)=25cm
a/c question
V1/V2=125/27
(R1/R2)^3=(5/3)^3
R1/R2=5/3-------------(1)
a)
A1/A2=(R1/R2)^2=25/9
hence area ratio is 25:9
b)
a/c question
R1-R2=10cm
from equation (1)
R2=5/3R1
use this
5/3R1-R1=10
R1 (5/3-1)=10
R1=15cm
R2=5/3 (15)=25cm
Answered by
24
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