Question : What is the surface area (in cm²) of a spherical sculpture whose radius is 35 cm?
(Take $\pi=\frac{22}{7}$)

Option 1: 16540

Option 2: 15700

Option 3: 15400

Option 4: 14500

Question : A circular arc whose radius is 4 cm makes an angle of 45º at the centre. Find the perimeter of the sector formed. (Take $\pi=\frac{22}{7}$)

Option 1: $\frac{78}{7} \mathrm{~cm}$

Option 2: $\frac{72}{7} \mathrm{~cm}$

Option 3: $\frac{74}{7} \mathrm{~cm}$

Option 4: $\frac{76}{7} \mathrm{~cm}$

Question : If the surface area of a sphere is 346.5 cm², then its radius is: (Take $\pi=\frac{22}{7}$)

Option 1: 7 cm

Option 2: 3.25 cm

Option 3: 5.25 cm

Option 4: 9 cm

Question : A metallic solid spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of these balls are 2 cm and 1.5 cm. What is the surface area (in cm²) of the third ball?

Option 1: $50 \pi$

Option 2: $\frac{25}{4} \pi$

Option 3: $25 \pi$

Option 4: $\frac{25}{2} \pi$

Question : The radius and height of a cylinder are in the ratio 4: 7 and its volume is 2816 cm³. Find its radius. (Take $\pi=\frac{22}{7}$ )

Option 1: 5 cm

Option 2: 7 cm

Option 3: 8 cm

Option 4: 6 cm

Question : The volume of a hemisphere is $2425 \frac{1}{2} \mathrm{~cm}^3$. Find its radius.
$\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$

Option 1: 12 cm

Option 2: 10 cm

Option 3: 10.5 cm

Option 4: 9.5 cm