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 : If a right circular cone of height 24 cm has the circumference of its base 42$\pi$ cm, then the volume of the cone is: (Use $\pi=\frac{22}{7}$)

Option 1: 15211 cm³

Option 2: 11088 cm³

Option 3: 12034 cm³

Option 4: 21011 cm³

Question : The area of a circle whose radius is the diagonal of a square whose area is $4\;\mathrm{cm^2}$ is:

Option 1: $16\pi\;\mathrm{cm^2}$

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

Option 3: $6\pi\;\mathrm{cm^2}$

Option 4: $8\pi\;\mathrm{cm^2}$

Question : Find the volume of a solid sphere whose diameter is 42 cm. (Use $\pi=\frac{22}{7}$)

Option 1: 38807 cm³

Option 2: 38808 cm³

Option 3: 38806 cm³

Option 4: 38805 cm³

Question : The curved surface area of a right circular cone of diameter $42 \ \text{cm}$ is $990 \ \text{cm}^2$. What is the slant height (in${\ \text{cm}})$ of the cone? [Use $\pi=\frac{22}{7}$]

Option 1: 10

Option 2: 15

Option 3: 24

Option 4: 12