1. The volume of a sphere with radius \(r\) cm will be: \[ \text{Volume} = \frac{4}{3} \pi r^3 \text{ cubic centimeters} \]

2. From a solid hemisphere with radius \( r \) units, the volume of the largest solid cone that can be cut out will be _____ .

3. The volume of the largest solid cone that can be cut out from a solid hemisphere with a radius of r units.

(a) \(4\pi r^3\) cubic units. (b) \(43\pi r^3\) cubic units. (c) \(\cfrac{πr^3}{4} \)  cubic units (d) \(\cfrac{πr^3}{3}\) cubic units

4. If the ratio of the volume of a sphere with radius ???? to the volume of a cone with the same radius is 4:9, then the height of the cone will be..

(a) \(3r\) (b) \(4r\) (c) \(6r\) (d) \(9r\)

5. Determine the volume of the largest solid cone that can be cut from a solid hemisphere with a radius of \(r\) units.

6. If the numerical value of the curved surface area and the volume of a sphere are equal, then the radius will be 3 units.

7. Two identical solid hemispheres, each with a base radius of \(r\) units, are joined together along their flat surfaces. The total surface area of the resulting solid body will be \(6πr^3\) square units.

8. "The volume of a sphere varies directly with the cube of its radius, and the surface area of a sphere varies directly with the square of its radius. Prove that the square of the volume of a sphere will be directly proportional to the cube of its surface area."