Question : The Largest possible sphere is carved out of a cube of side 6 cm. What is the volume of the sphere?

Option 1: $\frac{792}{7}$ cm³

Option 2: $\frac{144}{7}$ cm³

Option 3: $\frac{133}{3}$ cm³

Option 4: $\frac{144}{3}$ cm³

Question : The curved surface area of a cylinder, whose height is 10 cm, is 1320 cm². What is the volume of this cylinder? [Use $\pi$ $\left.=\frac{22}{7}\right]$

Option 1: 1388 m³

Option 2: 0.001368 m³

Option 3: 0.1386 m³

Option 4: 0.01386 m³

Question : What is the height of a cylinder whose radius of base is 12 cm and volume is 19008 cm³? [Use $\pi=\frac{22}{7}$]

Option 1: 6 cm

Option 2: 24 cm

Option 3: 38 cm

Option 4: 42 cm

Question : The outer radius of a spherical shell is 13 cm and the thickness of the shell is 3 cm. What is the volume of the metal used for the shell? $\left(\pi=\frac{22}{7}\right)$

Option 1: 1197 cm³

Option 2: 2197 cm³

Option 3: 3024 cm³

Option 4: 5016 cm³

Question : The radius of a right circular cylinder is thrice of its height. If the height of the cylinder is 3.5 cm, what is the volume of the cylinder?

Option 1: 1124.25 cm³

Option 2: 1324.75 cm³

Option 3: 1468.25 cm³

Option 4: 1212.75 cm³