Question : A toy is in the shape of a cylinder surmounted by a hemisphere. The total height of the toy is 15 cm and the radius of the hemisphere is 6 cm. What is the volume of the toy?

Option 1: $496\pi$ cm³

Option 2: $476\pi$ cm³

Option 3: $458\pi$ cm³

Option 4: $468\pi$ cm³

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 radius of a sphere is 14 cm. What is the surface area of this sphere? [Use $\pi=\frac{22}{7}$]

Option 1: 2464 cm²

Option 2: 1232 cm²

Option 3: 1848 cm²

Option 4: 616 cm²

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 : Find the curved surface area of a cone whose radius of the base is 7 cm and slant height is 8 cm. [Use $\pi=\frac{22}{7}$]

Option 1: 132 cm²

Option 2: 198 cm²

Option 3: 154 cm²

Option 4: 176 cm²