VOLUME OF CYLINDERS AND COMPOSITE 3D FIGURES QUICK CHECK
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 smaller, simpler shapes. In this case, we have a cylinder and a rectangular prism.
Volume of cylinder = πr^2h
Volume of rectangular prism = lwh
Given:
Radius of cylinder (r) = 6 cm
Height of cylinder (h) = 14 cm
Width of rectangular prism (w) = 6 cm
Length of rectangular prism (l) = 4 cm
Height of rectangular prism = 5 cm
Volume of cylinder = π(6)^2(14) = π(36)(14) = 504π cm³
Volume of rectangular prism = 4(6)(5) = 120 cm³
Total volume of the composite figure = Volume of cylinder + Volume of rectangular prism
= 504π cm³ + 120 cm³
≈ 952 cm³
The volume of the composite figure is approximately 952 cm³. So, the closest answer choice is 952 cm³.