Answer:
57π cm³ ≈ 179.07 cm³ [hundredth] or 179.1 cm³ [tenth]
Step-by-step explanation:
Cone Volume = ⅓πr²h
Cylinder Volume = πr²h
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Given:
- Cone and Cylinder have a radius of 3 cm.
- Cone has a height of 4 cm.
- Cylinder has a height of 5 cm.
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The total volume will be the sum (addition) of the cones volume and the cylinders volume.
Therefore:
Total volume = ⅓πr²(h_1) + πr²(h_2)
Total volume = (⅓(h_1) + (h_2))(πr²)
Total volume = (⅓(4 cm) + (5 cm))(π(3 cm²))
Total volume = (4/3 + 5)(9π) cm³
Total volume = (19/3)(9π) cm³
Total volume = 57π cm³
Total volume = 179.0707812546.. cm³
Total volume ≈ 179.07 cm³ [hundredth] or 179.1 cm³ [tenth]
