Volume is defined as the 3-dimensional space covered by any object. 1. The volume of a right cylinder is 150 cubic cm, 5. the volume of a cone is 314 cubic cm, 5. the volume of a pyramid is 160 cubic cm, and 7. the volume of a pyramid is 48 cubic cm.
1. Given:
Radius of a right cylinder (r) = 4 cm
Height of a right cylinder (h) = 3 cm
The volume of a right cylinder = [tex]\pi r^{2} h[/tex]
[tex]=(3.14) (4^{2} )(3)\\[/tex]
≈ [tex]150[/tex] cubic cm
3. Given:
Radius of a cone = 5 cm
Height of a cone = 12 cm
The volume of a cone = [tex]\frac{1}{3} \pi r^{2} h[/tex]
= [tex]\frac{1}{3} (3.14)(5^{2})(12)[/tex]
[tex]= 314[/tex] cubic cm
5. Given:
Base area of a pyramid = 16 sq cm
Height of a pyramid = 30 cm
The volume of a pyramid = [tex]\frac{1}{3} bh[/tex]
= [tex]\frac{1}{3} (16)(30)[/tex]
[tex]=160[/tex] cubic cm
7. Given:
Length of square base of a pyramid = 3 cm
Height of a pyramid = 16 cm
The volume of a pyramid = [tex]\frac{1}{3} bh[/tex]
= [tex]\frac{1}{3}(3^{2})(16)[/tex]
= [tex]48[/tex] cubic cm
For more information:
https://brainly.com/question/6505233
