Sum

**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 cm^{2}^{ }is Rs 2300.

**Reason (R)**

The total surface area of a hemisphere is 3π r^{2}.

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

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#### Solution

Assertion (A) is false and Reason (R) is true.

Assertion (A):

Total surface area of the hemisphere =3πr^{3 }

`= (3xx22/7xx7xx7) "cm"^2`

= 462 cm^{2}

Cost of painting at Rs 5 per cm^{2 }= Rs (462 × 5)

= Rs 2310

Hence, Assertion (A) is false.

Reason (R): The given statement is true.

Is there an error in this question or solution?

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