Question : A conical tent has to accommodate 25 persons. Each person must have 4 m² of space on the ground and 80 m³ of air to breathe. Find the height of the tent.

Option 1: 60 m

Option 2: 50 m

Option 3: 40 m

Option 4: 45 m

Question : A conical tent of height 10 m and base diameter 48 m was erected by a company in a park. Find the curved surface area of the tent (in m²).

Option 1: $576 \pi$

Option 2: $1248 \pi$

Option 3: $1152 \pi$

Option 4: $624 \pi$

Question : The volume of a cone whose radius of a base and height are $r$ cm and $h$ cm respectively, is 400 cm³. What will be the volume of a cone whose radius of base and height are $2r$ cm and $h$ cm respectively?

Option 1: 100 cm³

Option 2: 1600 cm³

Option 3: 1200 cm³

Option 4: 800 cm³

Question : A hollow sphere has an outer radius of 6 cm and inner radius of 3 cm. What is the volume of this hollow sphere?

Option 1: 252$\pi$ cm³

Option 2: 356$\pi$ cm³

Option 3: 144$\pi$ cm³

Option 4: 175$\pi$ cm³

Question : The volume of a conical tent is 1232 m³ and the area of its base is 154 sq m. Find the length of the canvas required to build the tent, if the canvas is 2 m in width. (Take $\pi=\frac{22}{7}$)

Option 1: 270 m

Option 2: 272 m

Option 3: 276 m

Option 4: 275 m