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Q.

The radius of a balloon is increasing at the rate of 10 cm/sec. At what rate is the surface area of the balloon increasing when the radius is 15 cm?


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a

1200

b

1300

c

1250

d

1350 

answer is A.

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Detailed Solution

Concept- Here, we need to know the formula for finding the surface area of the balloon =4πr2 sq. units r be the radius and S be the surface area of the balloon at any time t.
Let S represent the surface area of the balloon at any moment t and r represent its radius. Then,
Question Imageand Question ImageNow, Question Image Question ImageQuestion ImageQuestion ImageHence,the answer is option 1.
 
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