Q5 of 23 Page 1

Solve any two sub-questions:

Water flows at the rate of 15 m per minute through a cylindrical pipe, having the diameter 20 mm. How much time will it take to fill a conical vessel of abse diameter 40 cm and depth 4 cm?

The figure is as follows:


Given:


Cylindrical Pipe diameter, d = 20 mm


r = 10 mm = 1 cm


Rate of flow of water = 15m / min


h = 1500 cm / min


Conical Vessel = D = 40cm


R = 20 cm


H = 45 cm


Let the conical vessel be filled in x min


Volume of water flowing through cylindrical pipe in x min = Volume of conical vessel




1500x = 400 × 15


x = 6000 / 1500


x = 4 min


Therefore the conical vessel will be filled in 4 minutes.


More from this chapter

All 23 →
4

Solve any two sub-questions:

A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60°. When he moves 40 m away from the bank, he finds the angle of elevation to be 30°. Find the height of the tree and width of the river. (√3 = 1.73)

 4

Solve any two sub-questions:

A(5,4), B(-3,-2) and C(1,-8) are the vertices of a triangle ABC. Find the equations of median AD and line parallel to AC passing through the point B.

 5

Solve any two sub-questions:

In the following figure, AE = EF = AF = BE = CF = a, AT ⊥ BC. Show that AB = AC = √3 x a.


 5

Solve any two sub-questions:

ΔSHR ∼ ΔSVU. In ΔSHR, SH = 4.5 cm, HR = 5.2 cm, SR = 5.8 cm and . Construct ΔSUV.