Question
- A core sample of earth is cylindrical.
The length of the core is 300 mm .
Its diameter is 150 mm .
Calculate the volume of earth in cubic millimetres
and cubic centimetres.
The length of the core is 300 mm .
Its diameter is 150 mm .
Calculate the volume of earth in cubic millimetres
and cubic centimetres.
Ask by Savage Deleon. in Canada
Jan 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The volume of the cylindrical core sample is approximately 5,301,450 mm³ or 5,301.45 cm³.
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Mind Expander
To find the volume of a cylindrical core sample, you can use the formula: V = πr²h, where V is the volume, r is the radius, and h is the height (or length). The radius is half of the diameter, so here, r = 75 mm (150 mm ÷ 2). Plugging in the values:
V = π × (75 mm)² × 300 mm ≈ 17,663.5 mm³.
To convert to cubic centimeters, you can use the conversion factor (1 cm³ = 1,000 mm³). Thus, the volume in cubic centimeters is approximately 17.66 cm³.
So, you’ve got about 17,663.5 mm³ or 17.66 cm³ of earth in your cylindrical core sample!