A conical tent is to accommodate 11 persons. Each person must have 4 sq. metres of the space on the ground and 20 cubic metres of air to breath. The height of the cone is :
A. 13 m
B. 14 m
C. 15 m
D. 16 m
Answer: Option C
Solution(By Examveda Team)
Let the radius of base = r and height = hRequired floor area :
= (4 × 11) m2 = 44 m2
Required volume :
= (20 × 11) m3 = 220 m3
So,
$$\eqalign{ & \frac{1}{3}\pi {r^2}h = 220 \cr & \Rightarrow \frac{1}{3} \times 44 \times h = 220 \cr & \Rightarrow h = \frac{{220 \times 3}}{{44}} \cr & \Rightarrow h = 15\,m \cr} $$
Related Questions on Volume and Surface Area
A. 12$$\pi$$ cm3
B. 15$$\pi$$ cm3
C. 16$$\pi$$ cm3
D. 20$$\pi$$ cm3
In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
A. 75 cu. m
B. 750 cu. m
C. 7500 cu. m
D. 75000 cu. m
A. 84 meters
B. 90 meters
C. 168 meters
D. 336 meters
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