A cone has a base radius of 3 cm and a height of 4 cm. Find its volume.
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Answer: A. 12 π cm3
Explanation
Multiplying the squared radius value by pi and height determines the exact volumetric capacity. Applying the standard geometric formula requires multiplying one third by pi and the squared dimensions. Simplifying the resulting expression yields twelve pi cubic centimeters as the final volume measurement. Three dimensional geometric shapes like cones utilize specific formulas to calculate their total internal volume. The volume formula for any standard cone equals one third of the base area times height. Squaring the given radius of three centimeters produces a base circle area of nine pi.
Calculating cone volume is essential in manufacturing industries that produce funnel shaped storage containers. Civil engineers use these geometric principles when estimating the volume of conical piles of gravel. Architects incorporate conical roof structures into building designs while calculating necessary materials. Option B suggests six pi which represents half the correct calculated volume of the cone. Option C provides eight pi which fails to match the proper mathematical expansion of the formula. Option D offers ten pi which incorrectly computes the multiplication of radius and height parameters.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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