Question : A conical tent has a radius of 7m and a vertical height of 24m. How many full bags of rice can be emptied in it if the space occupied by the rice in each bag is 2m3 ?
Option 1: 566
Option 2: 616
Option 3: 716
Option 4: 650
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Correct Answer: 616
Solution : The radius of the conical tent, $r$ = 7 m Height of the tent, $h$ = 24 m Volume of the conical tent = $\frac13\pi r^2h$ $= \frac13 \times 3.14\times (7)^2\times 24 = 1230.88\ m^3$ Volume of the bag = $2\ m^3$ Number of bags that can be emptied $= \frac{\text{Volume of tent}}{\text{Volume of bag}}$ $n= \frac{1230.88}{2} = 615.44\approx 616$ Hence, the correct answer is 616.
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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 conical tent with a radius of 6 units and a height of 8 units is to be made with canvas. How much canvas is needed to make the tent? (Rounded off to two places of decimals)
Option 1: 188.57 units
Option 2: 155.87 units
Option 3: 166.57 units
Option 4: 177.55 units
Question : The radius of a right circular cylinder is thrice of its height. If the height of the cylinder is 2.1 cm, then what is the volume of a cylinder?
Option 1: 224.65 cm3
Option 2: 194.72 cm3
Option 3: 324.86 cm3
Option 4: 261.95 cm3
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