Q4 of 75 Page 230

If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, then find (i) radius of its base (ii) its volume. (Use π = 3.14)

(i) Height (h) of cylinder = 5 cm

Let radius of cylinder be r


CSA of cylinder = 94.2 cm2


2πrh = 94.2


(2 × 3.14 × r × 5) = 94.2


r = 3 cm


(ii) Volume of cylinder = πr2h


= (3.14 × (3)2 × 5)


= 141.3 cm3


More from this chapter

All 75 →
2

The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm3 of wood has a mass of 0.6 g

 3

A soft drink is available in two packs – (i) a tin can with a rectangular base of length5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

 5

It costs Rs 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per m2, find (i) inner curved surface area of the vessel,

(ii) Radius of the base,


(iii) Capacity of the vessel

 6

The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it?