Q4 of 34 Page 150

A cone has a volume of 462 cu cm and a height of 9 cm. find the radius of its base.

We have


Given: height of the cone, h = 9 cm


Volume of the cone = 462 cm3


To find radius of the cone, we know


Volume = 1/3 πr2h


⇒


⇒


⇒


⇒


⇒ r = √49 = 7 cm


Thus, radius is 7 cm.


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2

If the height of a cone is 18 cm and the volume is 924 cu cm, find the radius of its base.

 3

Find the volume of a cone-shaped figure if its base has a radius of 7 cm and its slant height is 25 cm.

 5

The volume of a cone is 9856 cu cm. If the diameter of its base is 28 cm, what is its height and its slant height?

 6

The radius of the base of a cone is 5 cm while its height is 12 cm. Find the volume of this cone.

(Take π = 3.14)