A well with 14 cm radius is dug 23 cm deep. Find the volume of the earth taken out of it.

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The well is a cylinder with radius r = 14 cm and height h = 23 cm. The volume V of a cylinder is given by V = πr²h.

Step 1: Calculate the area of the base (circle): πr² = 3.1416 × 14² = 3.1416 × 196 = 615.752 cm²
Step 2: Calculate the volume: V = base area × height = 615.752 × 23 = 14,162.296 cm³

Rounding to the nearest whole number, volume ≈ 14,178 cm³.

Hence, the volume of the earth taken out is approximately 14,178 cm³.

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