Question : The height of a right circular cone is 24 cm. If the diameter of its base is 36 cm, then what will be the curved surface area of the cone?

Option 1: $1444.6 \; \mathrm{cm^2}$

Option 2: $2400.9\; \mathrm{cm^2}$

Option 3: $1697.14 \; \mathrm{cm^2}$

Option 4: $2144.2\; \mathrm{cm^2}$

Question : The side of a square is equal to 40% of the radius of a sphere. If the volume of the sphere is $\frac{500 \pi}{3} \mathrm{~m}^3$, then what is the area of the square?

Option 1: 2 m²

Option 2: 1 m²

Option 3: 9 m²

Option 4: 4 m²

Question : The volume of a hemisphere is $486 \pi\  \mathrm{cm}^3$. Find the radius.

Option 1: 7 cm

Option 2: 9 cm

Option 3: 4 cm

Option 4: 8 cm

Question : The longest side of the obtuse triangle is 7 cm and the other two sides of the triangle are 4 cm and 5 cm. Find the area of the triangle.

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

Option 2: $6 \sqrt{3} \mathrm{~cm}^2$

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

Option 4: $4 \sqrt{6} \mathrm{~cm}^2$

Question : If the sum of the diagonals of a rhombus is $L$ and the perimeter is $4P$, find the area of the rhombus.

Option 1: $\frac{1}{4}\left(\mathrm{~L}^2-\mathrm{P}^2\right)$

Option 2: $\frac{1}{2}\left(\mathrm{~L}^2-4 \mathrm{P}^2\right)$

Option 3: $\frac{1}{4}\left(\mathrm{~L}^2+3 \mathrm{P}^2\right)$

Option 4: $\frac{1}{4}\left(\mathrm{~L}^2-4 \mathrm{P}^2\right)$