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Question

Assertion (A)
The outer surface of a hemisphere of radius 7 cm is to be painted. The total cost of painting at Rs 5 per cm2 is Rs 2300.

Reason (R)
The total surface area of a hemisphere is 3π r2.

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.

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Solution

(d) Assertion (A) is false and Reason (R) is true.
Assertion (A):
Total surface area of the hemisphere=3πr2
=3×227×7×7 cm2=462 cm2

Cost of painting at Rs 5 per cm2=Rs 462×5

= Rs 2310
Hence, Assertion (A) is false.

Reason (R): The given statement is true.

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