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The figure is made up of 2 hemispheres and a cylinder. What is the exact volume of this figure? 126π in.³ 378π in.³ 396π in.³ 648π in.³ A 10 inch cylinder with two domes on each end with diameters of 6 inches

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irspow
The two domes or hemispheres simply have the area of a complete sphere with the same diameter.  So the total area is the area of a sphere and a cylinder...

as=(4p3^3)/3, ac=10p3^2

A= 36p+90p=126p in^3

Volume is a three-dimensional scalar quantity. The volume of the figure will be 126π cubic inches.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the figure will be the sum of the volume of the cylinder and twice the volume of the hemisphere. Therefore, the volume will be,

Volume = Volume of cylinder + 2(Volume of hemisphere)

Volume = (π×R²×H) + 2[(2/3)π×R³]

             = (π×3²×10) + 2[(2/3)×π×3³]

             = 90π +36π

             = 126π in³

Hence, the volume of the figure will be 126π cubic inches.

Learn more about Volume:

https://brainly.com/question/13338592

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