The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases.
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Answered by
46
ATQ, the radius of a spherical balloon increased from 7cm to 14cm.
we have to find the ratio of surface areas of the balloon in two cases.
so first we have to find the surface area of the balloon in each case.
formula for finding the surface area of a sphere is 4πr²
therefore surface area of the balloon with radius 7cm = 4πr²
= 4 × 22/7 × 7 × 7
= 88 × 7
= 616cm²
surface area of the balloon with radius 14cm = 4πr²
= 4 × 22/7 × 14 × 14
= 88 × 2 × 14
= 2464cm²
hence, ratio between the surface area in both cases :-
==> 616 : 2464
==> 308 : 1232
==> 154 : 616
==> 77 : 308
==> 11 : 44
HOPE THIS HELPS..!!
we have to find the ratio of surface areas of the balloon in two cases.
so first we have to find the surface area of the balloon in each case.
formula for finding the surface area of a sphere is 4πr²
therefore surface area of the balloon with radius 7cm = 4πr²
= 4 × 22/7 × 7 × 7
= 88 × 7
= 616cm²
surface area of the balloon with radius 14cm = 4πr²
= 4 × 22/7 × 14 × 14
= 88 × 2 × 14
= 2464cm²
hence, ratio between the surface area in both cases :-
==> 616 : 2464
==> 308 : 1232
==> 154 : 616
==> 77 : 308
==> 11 : 44
HOPE THIS HELPS..!!
Answered by
22
Answer:
1:4
Step-by-step explanation:
s a of sphere 7 cm =4pie r2
4*22/7*7*7
616 cm2
sa of sphere 14 cm = 4*22/7*14*14
2464 cm2
ratio = 616:2464
308:1232
154:616
77:308
11:44
1:4
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