Question

calculate the volume of a cone whose base radius is 3 and half cm and vertical height 24cm​

Answer 1

The volume of a cone whose radius is 3 1 / 2 cm and vertical height is 24 cm is 307.72 cm³

Volume of a cone

The volume of a cone can be represented as follows:

volume = 1 / 3 πr²h

where

• r = radius
• h = height

Therefore,

r  = 3 1 / 2 cm = 7 / 2 cm

h = 24 cm

Hence,

volume = 1 / 3 × π  × (7 / 2 )² × 24

volume of a cone = 1 / 3 × π × 49 / 4 × 24

volume of the cone = 1 / 3 × π × 1176 / 4

volume of the cone =  1176 / 12 π

volume of the cone = 98π

volume of the cone =  307.72 cm³

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