Mathematics
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 . 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).
Related Questions
A right angle triangle shaped piece of hard board is rotated completely about its hypotenuse, as shown in the diagram. The solid so formed is always :
(i) a single cone
(ii) a double cone
Which of the statement is valid ?
only (i)
only (ii)
both (i) and (ii)
neither (i) nor (ii)
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 ?
Both the statements are true
Both the statements are false
Statement 1 is true, and statement 2 is false
Statement 1 is false, and statement 2 is true
Assertion (A): From a solid wooden cylinder of height 15 cm and diameter 14 cm, of conical cavity of same height and same base diameter is hollowed out. The volume of the cone is 770 cm3.
Reason (R): The volume of a cylinder of height h and radius r is πr2h.