Question : The slant height and radius of a right circular cone are in the ratio 29 : 20. If its volume is $4838.4 \pi ~\mathrm{cm}^3$, then its radius is:

Option 1: 28 cm

Option 2: 20 cm

Option 3: 25 cm

Option 4: 24 cm

Question : The ratio of the height and the diameter of a right circular cone is 6: 5 and its volume is $\frac{2200}{7} \mathrm{~cm}^3$. What is its slant height?
(Take $\pi=\frac{22}{7}$ )

Option 1: 26 cm

Option 2: 13 cm

Option 3: 25 cm

Option 4: 5 cm

Question : The volume of a cone with a height equal to the radius and slant height of 5 cm is:

Option 1: $\frac{125 \pi}{12 \sqrt{3}} \mathrm{~cm}^3$

Option 2: $\frac{125 \pi}{6 \sqrt{3}} \mathrm{~cm}^3$

Option 3: $\frac{125 \pi}{12 \sqrt{2}} \mathrm{~cm}^3$

Option 4: $\frac{125 \pi}{6 \sqrt{2}} \mathrm{~cm}^3$

Question : The radius of a solid right circular cone is 36 cm and its height is 105 cm. The total surface area (in cm²) of the cone is:

Option 1: $4296 \pi$

Option 2: $3996 \pi$

Option 3: $5292 \pi$

Option 4: $3969 \pi$

Question : A right circular cone is 3.6 cm high, and the radius of its base is 1.6 cm. It is melted and recast into a right circular cone with a radius of 1.2 cm at its base. Then the height of the cone (in cm) is:

Option 1: 3.6

Option 2: 4.8

Option 3: 6.4

Option 4: 7.2

Question : The curved surface area of a right circular cone of a base radius of 21 cm is 594 sq. cm. What is the slant height of the cone?

Option 1: 15 cm

Option 2: 11 cm

Option 3: 9 cm

Option 4: 6 cm