Question : 24 equal solid hemispheres are melted to form a right circular cylinder of radius 12 cm and height 24 cm. Find the radius of each solid hemisphere.

Option 1: 4 cm

Option 2: 8 cm

Option 3: 6 cm

Option 4: 3 cm

Question : If the radius of a sphere is increased by 2 cm, then its surface area increases by 352 cm². The radius of the sphere initially was: (use $\pi =\frac{22}{7}$)

Option 1: 4 cm

Option 2: 5 cm

Option 3: 3 cm

Option 4: 6 cm

Question : Find the length of a tangent drawn to a circle with a radius of 6 cm, from a point 10 cm from the centre of the circle.

Option 1: 12 cm

Option 2: 9 cm

Option 3: 8 cm

Option 4: 10 cm

Question : The diameter of a sphere is 14 cm, then the volume of this sphere is (use $\pi=\frac{22}{7}$ ):

Option 1: $1437 \frac{1}{3} \mathrm{~cm}^3$

Option 2: $1683 \frac{1}{3} \mathrm{~cm}^3$

Option 3: $1521 \frac{2}{3} \mathrm{~cm}^3$

Option 4: $2125 \frac{1}{3} \mathrm{~cm}^3$

Question : The circumferences of the two circles are touching externally. The distance between their centres is 12 cm. The radius of one circle is 7 cm. Find the diameter (in cm) of the other circle.

Option 1: 12

Option 2: 10

Option 3: 8

Option 4: 5