A cylindrical tin has a 6 cm diameter and a 5 cm height. Find its volume?
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Answer: B. 45 π cc
Explanation
The radius of the cylindrical tin is half of its given six centimeter diameter, equaling three centimeters. The volume of a cylinder is calculated by multiplying pi by the squared radius and the height. Multiplying the squared radius of nine by the height of five gives a total volume of forty five pi cubic centimeters. A cylinder is a three dimensional geometric shape with two parallel circular bases and a curved surface. The radius is always defined as half the length of the straight line passing through the circle center. Cubic centimeters measure three dimensional volumetric capacity in standard metric units.
Packaging engineers calculate cylindrical container volumes to determine optimal storage and shipping capacities. Manufacturing industries use volume formulas to measure liquid storage tank capacities accurately. Culinary arts involve cylindrical volume calculations when scaling recipes for cylindrical baking pans. Option A underestimates the volume by failing to square the radius dimension properly. Option C overestimates the volume by using an incorrect radius or height multiplier. Option D represents a major calculation error resulting from incorrect dimensional substitution.
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