Question : The height and the radius of the base of a right circular cone are in the ratio of 12 : 5. If its volume is 314 cm³, then what is the slant height of the cone? (Use $\pi$ = 3.14)

Option 1: 12 cm

Option 2: 11 cm

Option 3: 13 cm

Option 4: 14 cm

Question : The curved surface area of a right circular cone is $156 \pi$ and the radius of its base is 12 cm. What is the volume of the cone, in cm³?

Option 1: $192 \pi$

Option 2: $210 \pi$

Option 3: $240 \pi$

Option 4: $180\pi$

Question : The radius and height of a right circular cone are in the ratio 1 : 2.4. If its curved surface area is 2502.5 cm², then what is its volume? (Take $\pi=\frac{22}{7}$)

Option 1: 8085 cm³

Option 2: 8820 cm³

Option 3: 11550 cm³

Option 4: 13475 cm³

Question : The area of the base of a cone is 616 cm². If its slant height is 20 cm, then what is the total surface area of the cone? [Use $\pi$ = $\frac{22}{7}$]

Option 1: 1352 cm²

Option 2: 1296 cm²

Option 3: 1496 cm²

Option 4: 1524 cm²

Question : The ratio of the radius of the base and the height of a solid right circular cylinder is 2 : 3. If its volume is 202.125 cm³, then its total surface area is: (Take $\pi=\frac{22}{7}$)

Option 1: 192.5 cm²

Option 2: 154 cm²

Option 3: 168 cm²

Option 4: 115.5 cm²