The radii of two spheres are in the ratio 2:3 find the ratio of their surface areas and ratio of their volumes.
Answers
Answered by
161
ratio of radius of the sphere is 2:3
so r1/r2=2/3
¤ ratio is surface areas =4π(r1)^2/4π(r2)^2
=r1^2/r2^2/
=(r1/r2)^2
so from first r1/r2=2/3
=(2/3)^2
=2^2/3^2
=4/9
hence answer is 4/9
¤ ratio of volume of spheres
= [(4πr^3)/3]/(4πr^3)/3
after cutting =r1^3/r2^3
r1/r2=2/3
so r1^3/r2^3=(2/3)^3
=8/27
so r1/r2=2/3
¤ ratio is surface areas =4π(r1)^2/4π(r2)^2
=r1^2/r2^2/
=(r1/r2)^2
so from first r1/r2=2/3
=(2/3)^2
=2^2/3^2
=4/9
hence answer is 4/9
¤ ratio of volume of spheres
= [(4πr^3)/3]/(4πr^3)/3
after cutting =r1^3/r2^3
r1/r2=2/3
so r1^3/r2^3=(2/3)^3
=8/27
Answered by
38
Answer:
Step-by-step explanation:
The ratio of surface area of the sphere is 4 : 9 and the ratio of volume of the sphere is 8 : 27
Their explanation are in the picture and if you are now satisfied then please add me in the brainliest
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