Question : A hollow spherical shell is made of a metal of density 2.5 g/cm³. If the external and the internal radii of the given sphere are 35 cm and 14 cm, respectively, find the mass of the shell. [Use $\pi=\frac{22}{7}$]

Option 1: 398567 g

Option 2: 324120 g

Option 3: 440040 g

Option 4: 420420 g

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 surface area of a sphere is 2464 cm². Find the radius of the sphere. [Use $\pi=\frac{22}{7}$ ]

Option 1: 14 cm

Option 2: 28 cm

Option 3: 42 cm

Option 4: 40 cm

Question : The slant height and the radius of a right circular cone are 11 cm and 6 cm, respectively. What is the curved surface area of the cone?

Option 1: $74 \pi\; {cm}^2$

Option 2: $60 \pi \;{cm}^2$

Option 3: $44 \pi\; {cm}^2$

Option 4: $66 \pi \;{cm}^2$

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 circumference of the base of a cylinder is $28 \pi$ cm. If the height of the cylinder is 17 cm, then what will be the curved surface area of the cylinder?

Option 1: $372 \pi ~\text{cm}^2$

Option 2: $436\pi \ \text{cm}^2$

Option 3: $524\pi \ \text{cm}^2$

Option 4: $476\pi \ \text{cm}^2$