Q5 of 32 Page 123

Volume of a hemisphere is 18000 p cubic cm. Find its diameter.

Given: Volume of hemisphere = 18000π cm3

And we know volume of hemisphere is given by,


Volume =


Substituting value of volume of hemisphere in above equation, we get


18000π = 2/3 πr3


⇒ 18000 × 3 = 2r3


⇒ r3 = (18000 × 3)/2


⇒ r3 = 9000 × 3


⇒ r3 = 3 × 3 × 3 × 1000


⇒


⇒ r = 3 × 10


⇒ r = 30


If radius of hemisphere is 30 cm, then diameter of the hemisphere will be twice of the radius.


⇒ diameter = 2(radius)


⇒ diameter = 2(30)


⇒ diameter = 60


Thus, diameter of hemisphere is 60 cm.


More from this chapter

All 32 →
3

If the surface area of a sphere is 2826 cm2 then find its volume. (π = 3.14)

 4

Find the surface area of a sphere, if its volume is 38808 cubic cm. (π = 22/7)

 1

If diameter of a road roller is 0.9 m and its length is 1.4 m, how much area of a field will be pressed in its 500 rotations?

 2

To make an open fish tank, a glass sheet of 2 mm gauge is used. The outer length, breadth and height of the tank are 60.4 cm, 40.4 cm and 40.2 cm respectively. How much maximum volume of water will be contained in it?