A: When a sphere is cut into two equal pieces, then its total surface area is increased by 50%. B: A solid cylindrical block of volume 152 cm3 is completely dipped into a cuboidal pool of base area 19 cm2, then rise in height of water in the pool will be 8 cm. C: Inside a cuboidal box of dimension 15 cm × 24 cm × 18 cm, maximum number of small cubes of side 3 cm each that can be put will be 240. Which of the above statement(s) is/are TRUE? Correct Answer All A, B and C GIVEN: Three different statements. CONCEPT: Properties of sphere, cylinder and cube. FORMULA USED: Total surface area of sphere = 4πR2 Total surface area of a hemi-sphere = 3πR2 CALCULATION: A: Total surface area of sphere = 4πR2 Total surface area of two hemi-sphere = 2 × 3πR2 = 6πR2 Percent increment = × 100 = 50% B: Total rise in height of water of pool = 152/19 = 8 cm C: Total number of cubical boxes that can be put inside the large box = (15 × 24 × 18)/(3 × 3 × 3) = 5 × 8 × 6 = 240 Hence, all the three statements are TRUE.