Question : The total surface area of a solid metallic hemisphere is 462 cm². This is melted and moulded into a right circular cone. If the radius of the base of the cone is the same as that of the hemisphere, then its height is: (use $\pi=\frac{22}{7}$)

Option 1: 14 cm

Option 2: 7 cm

Option 3: 21 cm

Option 4: 28 cm

Question : The total surface area of a solid hemisphere is 4158 cm². Find its volume (in cm³).

Option 1: 462

Option 2: 9702

Option 3: 1848

Option 4: 19404

Question : A hemisphere has a 42 cm diameter. Find its curved surface area and the total surface area.

Option 1: 2772 cm² and 4158 cm²

Option 2: 3772 cm² and 5158 cm²

Option 3: 4770 cm² and 4238 cm²

Option 4: 3072 cm² and 4058 cm²

Question : The total surface area of a right circular cylinder is 1848 cm². The ratio of its total surface area to the curved surface area is 3 : 1. The volume of the cylinder is: (Take $\pi=\frac{22}{7}$)

Option 1: 4312 cm³ 

Option 2: 3696 cm³ 

Option 3: 4002 cm³ 

Option 4: 4851 cm³ 

Question : The curved surface area (CSA) and the total surface area (TSA) of a hemisphere whose radius is 7 cm are:

Option 1: CSA – 350 cm²; TSA – 500 cm²

Option 2: CSA – 320 cm²; TSA – 480 cm²

Option 3: CSA – 412 cm²; TSA – 544 cm²

Option 4: CSA – 308 cm²; TSA – 462 cm²