Question

Diameter of sphere is decreased bt 25 peecent find its new volume

Answer 1

Answer:

Step-by-step explanation:

Volume original sphere =

4/3 π r^3 cu. Units.

It's diameter is 'd ' units.

Diameter of the new one is decreased by 25% new diameter is (75/100) d

I. e. 3/4 d

new radius = 3/8 d units.

Volume of the new sphere = 4/3 π (3/8) ^3

= 4/3 x π x 3/8d x 3/8d x 3/8d=

9/128 π d^3 cubic units.........(1).

(Or )if we substitute d/2 as radius of original sphere...' r' units in eqn. (1) we get,

9/16 x1/8 x π x d^3 cu. Units.

= 9/16 x π x (d/2) ^3 cu. units.

= 9/16 π r^3 cubic units. (Volume of new sphere in terms of original sphere)