Two spheres have volumes in ratio 1728/2197 if the area of small sphere is 3024 cm² find area of bigger sphere
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25
v1:v2 = 1728:2197
4/3×22/7×r^3 :4/3×22/7×R^3 =1728:2197
r^3÷R^3=1728÷2197
r:R=12:13
area of small sphere :area of big sphere = 3024:x
4×22/7 ×r^2 :4×22/7 ×R^2 =3024:x
r^2:R^2 =3024:x
12^2:13^2 =3024:x
144:169=3024:x
x=3024×169÷144
x=511056÷144
x=3549 cm ^2
area of big sphere =3549 cm ^2
4/3×22/7×r^3 :4/3×22/7×R^3 =1728:2197
r^3÷R^3=1728÷2197
r:R=12:13
area of small sphere :area of big sphere = 3024:x
4×22/7 ×r^2 :4×22/7 ×R^2 =3024:x
r^2:R^2 =3024:x
12^2:13^2 =3024:x
144:169=3024:x
x=3024×169÷144
x=511056÷144
x=3549 cm ^2
area of big sphere =3549 cm ^2
aniketkabaddi01:
good..but i solve it shorter
Answered by
2
Answer:
Step-by-step explanation:15-28x=36
15-36=28x
21=28x
21÷28=x
3/4=x
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