Which expression represents the volume, in cubic units, of the composite figure?
pi(5^2)(13)-1/3pi(5^2)(12) pi(5^2)(13)-1/3pi(5^2)(25)
pi(5^2)(13)+1/3pi(5^2)(12)
pi(5^2)(13+1/3pi(5^2)(25)

C.

Step-by-step explanation:

Given:

The figure is a combination of a cone and a cylinder

Radius (of both),

Height of Cylinder,

Height of Cone,

Required:

Volume  of the figure

Let V represents the volume of the figure;

represents the volume of the cylinder

represents the volume of the cone

So,

Where and

So, V becomes

Factorize the above expression

Substitute ; ;

Open Bracket

Reorder

From the list of options given, option c is correct.