What is the formula for calculating volume capacity?

What is the formula for calculating volume capacity?

• A. C=πr²xHx7.48
• B. C=2πrHt
• C. C=πr²h
• D. C=r²h

Answer: (A)

The formula for calculating volume capacity of a cylindrical object is represented by \( C = \pi r^2 h \), where \( r \) is the radius of the base, \( h \) is the height, and \( \pi \) is a constant approximately equal to 3.14159. This formula calculates the volume in cubic units. The correct answer states the volume as \( C = \pi r^2 x H \times 7.48 \). The \( 7.48 \) factor takes the volume calculated in cubic feet and converts it to gallons, as there are approximately 7.48 gallons in a cubic foot. This is useful in applications involving liquid storage where you want to know the capacity in gallons. In contrast, while the other choices mention the radius and height, they do not incorporate the necessary factor for converting cubic feet to gallons or use an incorrect configuration of the formula altogether. Therefore, understanding how to calculate the volume in cubic feet and apply any necessary conversions is crucial for correctly determining capacity in various contexts.

The formula for calculating volume capacity of a cylindrical object is represented by ( C = \pi r^2 h ), where ( r ) is the radius of the base, ( h ) is the height, and ( \pi ) is a constant approximately equal to 3.14159. This formula calculates the volume in cubic units.

The correct answer states the volume as ( C = \pi r^2 x H \times 7.48 ). The ( 7.48 ) factor takes the volume calculated in cubic feet and converts it to gallons, as there are approximately 7.48 gallons in a cubic foot. This is useful in applications involving liquid storage where you want to know the capacity in gallons.

In contrast, while the other choices mention the radius and height, they do not incorporate the necessary factor for converting cubic feet to gallons or use an incorrect configuration of the formula altogether. Therefore, understanding how to calculate the volume in cubic feet and apply any necessary conversions is crucial for correctly determining capacity in various contexts.