edited by
895 views
0 votes
0 votes

A conical tent is to accommodate $10$ persons. Each person must have $6\;m^{2}$ space to sit and $30\;m^{3}$ of air to breath. What will be height of cone ?

  1. $37.5\;m$
  2. $150\;m$
  3. $75\;m$
  4. $15\;m$
edited by

2 Answers

0 votes
0 votes

Answer:

15 m

Step-by-step explanation:

Area required by one person = 6 sq.m.

Area required by 10 persons = 

So, Area of base conical tent = 60 sq.m.

Formula of Area of base of cone  = 

So, 

Volume of cone = 

                          =   

Air required by 1 person = 30 cubic m

Air required by 10 person = 

So, Volume of cone =  

So,    

  

Hence the height of the cone is approximately 15 m

0 votes
0 votes

Answer is D.

Volume of a cone = (1/3)*pi*r^2*h

30 = 1/3*6*h where pi*r^2 = 6 m^2. On solving h, we will get h=15m

Related questions

0 votes
0 votes
4 answers
1
Lakshman Bhaiya asked Apr 3, 2020
1,025 views
In a swimming-pool $90$ m by $40$ m, $150$ men take a dip. If the average displacement of water by a man is $8$ cubic metres, what will be rise in water level ?$30$ cm$33...
2 votes
2 votes
1 answer
3
Lakshman Bhaiya asked Apr 3, 2020
609 views
In an acute angled triangle $ABC$, if $\tan \left(A+B-C \right)=1$ and $\sec \left(B+C-A \right)=2$, Find angle $A$.$60^\circ$$45^\circ$$30^\circ$$90^\circ$
0 votes
0 votes
1 answer
4
Lakshman Bhaiya asked Apr 3, 2020
672 views
What will be area of the rhombus with equations of sides $ax \pm$ $by \pm c$ = $1$ ?$\frac{3c^{2}}{ab}$sq. units$\frac{4c^{2}}{ab}$sq. units$\frac{2c^{2}}{ab}$sq. units$\...
0 votes
0 votes
1 answer
5
Lakshman Bhaiya asked Apr 3, 2020
606 views
If $\left (-4, 0 \right), \left(1, -1 \right)$ are two vertices of a triangle whose area is $4$ Sq units then its third vertex lies on :$y=x$$5x+y+12=0$$x+5y-4=0$$x-5y+4=...