Question
A cylinder has a radius of 4 cm and a height of 10 cm. A
cone with the same radius is placed inside the cylinder, touching the bottom and the sides. If the cone's height is 10 cm, find the volume of the cone.Solution
Volume of the cone = (1/3)πr²h, Given: r = 4 cm, h = 10 cm. Volume of the cone = (1/3)π(4)²(10) Volume of the cone = (1/3)π × 16 × 10 Volume of the cone = 160π/3 cm³. Correct option: B) 160π/3 cm³.
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