VOLUME OF CYLINDERS AND COMPOSITE 3D FIGURES NEED HELP
6 cm
14 cm
6 cm
4 ст
5 cm
Solve for the volume of the composite figure.
(1 point)
952 cm₴
• 616 cm₴
• 448 cm₴
154 cm*
To find the volume of the composite figure, we need to break it down into two individual figures - a cylinder and a rectangular prism.
First, let's find the volume of the cylinder:
Radius = 6 cm
Height = 14 cm
Volume of cylinder = πr^2h
Volume of cylinder = π(6)^2(14)
Volume of cylinder = π(36)(14)
Volume of cylinder = 504π cm^3
Now, let's find the volume of the rectangular prism:
Length = 6 cm
Width = 4 cm
Height = 5 cm
Volume of rectangular prism = lwh
Volume of rectangular prism = 6 * 4 * 5
Volume of rectangular prism = 120 cm^3
Now, add the volumes of the cylinder and rectangular prism to find the total volume of the composite figure:
Total volume = Volume of cylinder + Volume of rectangular prism
Total volume = 504π + 120
Total volume ≈ 1674.68 cm^3
Therefore, the correct answer is not listed among the options provided.