A cubical block of side 10cm is surmounted by a hemisphere. What is the largest diameter that the hemisphere can have?

The greatest diameter a hemisphere can have is 10 cm. Total surface area of the solid = Surface area of the cube + CSA of the hemisphere - Area of the base of the hemisphere. = 6 × (10)² + 2 × (22/7)(5)² - (22/7)(5)² = 600 + 2(22/7) × 25 = 600 + 157.14 = 757.14 cm² Therefore, Cost of printing the block at the rate of Rs 5 per sq. cm The cost of 757.14 sq cm = 757.14 × 5 = 3785.7 Hence, the amount is Rs 3786 (approximately). Note: There's a calculation error in the provided solution. The correct calculation for the surface area is shown above. The original calculation incorrectly subtracts the base area of the hemisphere twice.