Question : The volume of a right circular cone having a base diameter of 14 cm is 196$\pi$ cm³. Find the perpendicular height of this cone

Option 1: 10 cm

Option 2: 12 cm

Option 3: 14 cm

Option 4: 8 cm

Question : A frustum of a right circular cone, whose height is 18 cm, large base radius is 25 cm, and small base radius is 20 cm, is melted to form a small sphere of diameter 2 cm. How many spheres will be formed?

Option 1: 6287

Option 2: 6862

Option 3: 4575

Option 4: 5857

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 radius of the base of a solid right circular cone is 8 cm and its height is 15 cm. The total surface area of the cone is:

Option 1: 200$\pi$

Option 2: 120$\pi$

Option 3: 136$\pi$

Option 4: 128$\pi$

Question : A solid metallic sphere of radius 6.3 cm is melted and recast into a right circular cone of height 25.2 cm. What is the ratio of the diameter of the base to the height of the cone?

Option 1: 2 : 1

Option 2: 3 : 2

Option 3: 1 : 2

Option 4: 2 : 3