Answer:
The volume of the cylinder is 150.72 cm³ ⇒ last answer
The volume of the cone is 314 cm³ ⇒ 1st answer
The volume of the pyramid is 160 cm³ ⇒ 2nd answer
The volume of the pyramid is 48 cm³ ⇒ 3rd answer
Step-by-step explanation:
* Lets revise the volumes of some shapes
- The volume of the cylinder of radius r and height h is:
V = π r² h
- The volume of the cone of radius r and height h is:
V = 1/3 π r² h
- The volume of the pyramid is:
V = 1/3 × its base area × its height
* Lets solve the problem
# A cylinder with radius 4 cm and height 3 cm
∵ V = π r² h
∵ π = 3.14
∵ r = 4 cm , h = 3 cm
∴ v = 3.14 (4)² (3) = 150.72 cm³
* The volume of the cylinder is 150.72 cm³
# A cone with radius 5 cm and height 12 cm
∵ V = 1/3 π r² h
∵ π = 3.14
∵ r = 5 cm , h = 12 cm
∴ V = 1/3 (3.14) (5)² (12) = 314 cm³
* The volume of the cone is 314 cm³
# A pyramid with base area 16 cm² and height 30 cm
∵ V = 1/3 × its base area × its height
∵ The area of the base is 16 cm²
∵ The height = 30 cm
∴ V = 1/3 (16) (30) = 160 cm³
* The volume of the pyramid is 160 cm³
# A pyramid with square base of length 3 cm and height 16 cm
∵ V = 1/3 × its base area × its height
∵ The area of the square = s²
∵ The area of the base = 3² = 9 cm²
∵ The height = 16 cm
∴ V = 1/3 (9) (16) = 48 cm³
* The volume of the pyramid is 48 cm³
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