question_answer

Study the statements carefully.

Statement I: If diameter of a sphere is decreased by 25%, then its curved surface area is decreased by 43.75%.

Statement II: Curved surface area is increased when diameter decreases.

Which of the following options hold?

A)  Both Statement-I and Statement-II are true.

B)  Statement-I is true but Statement-II is false.

C)  Statement-I is false but Statement-II is true.

D)  Both Statement-I and Statement-II are false.

Correct Answer: B

Solution :

Statement - I Let the diameter of sphere be 2r. Decreased diameter New diameter So, radius Curved surface area of sphere New curved surface area Now, decreased in surface area Statement II: If diameter is decreased, then curved surface area is also decreased.