A solid sphere is cut into identical hemispheres.

Statement 1 : The total volume of two hemispheres is equal to the volume of the original sphere.

Statement 2 : The total surface area of two hemispheres together is equal to the surface area of the original sphere.

Which of the following is valid ?

1. Both the statements are true

2. Both the statements are false

3. Statement 1 is true, and statement 2 is false

4. Statement 1 is false, and statement 2 is true

Assertion (A): The surface area of largest sphere that can be inscribed in a hollow cube of side 'a' cm is πa² cm².

Reason (R): The surface area of sphere of radius 'r' is $\dfrac{4}{3}πr^3$.

1. Assertion (A) is true, but Reason (R) is false.

2. Assertion (A) is false, but Reason (R) is true.

3. Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).

Assertion (A): From a solid wooden cylinder of height 15 cm and diameter 14 cm, a hemispherical depression of same base diameter is carved out. The volume of remaining wood is $1591\dfrac{1}{3}$ cm³.

Reason (R): The volume of a cylinder of height h and radius r is πr²h and the volume of a hemisphere of radius r is $\dfrac{2}{3}$ πr³.

A cylindrical container is to be made of tin sheet. The height of the container is 1 m and its diameter is 70 cm. If the container is open at the top and the tin sheet costs 300 per m², find the cost of the tin for making the container.