Question : The radius and slant height of a cone are in the ratio 5 : 7. If its curved surface area is 1347.5 cm², find its radius. $\mathrm{(Use ~\pi =\frac{22}{7})}$

Option 1: 15 cm

Option 2: 25.5 cm

Option 3: 17.5 cm

Option 4: 21 cm

Question : If a right circular cone of height 24 cm has the circumference of its base 42$\pi$ cm, then the volume of the cone is: (Use $\pi=\frac{22}{7}$)

Option 1: 15211 cm³

Option 2: 11088 cm³

Option 3: 12034 cm³

Option 4: 21011 cm³

Question : If the slant height and radius of a right circular cone are 28 cm and 21 cm, respectively, then the total surface area of the right circular cone (in cm²) is: (Take $\pi=\frac{22}{7}$)

Option 1: 3234

Option 2: 3342

Option 3: 3243

Option 4: 3324

Question : Find the volume of a solid sphere whose diameter is 42 cm. (Use $\pi=\frac{22}{7}$)

Option 1: 38807 cm³

Option 2: 38808 cm³

Option 3: 38806 cm³

Option 4: 38805 cm³

Question : The total surface area of a cylinder whose radius is 6 cm and height is 8 cm is: (Use $\pi=\frac{22}{7}$)

Option 1: 528 cm²

Option 2: 575 cm²

Option 3: 658 cm²

Option 4: 625 cm²