Q. If the volume of a right circular cylinder with a radius of 4 feet and a height of 30 feet is aπ cubic feet, what is the value of a?
Identify Formula: Identify the formula for the volume of a right circular cylinder.The volume V of a right circular cylinder is given by the formula V=πr2h, where r is the radius and h is the height of the cylinder.
Plug in Values: Plug in the given values for the radius and height into the volume formula.Given: radius r=4 feet, height h=30 feetVolume V=π×(4 feet)2×30 feet
Calculate Volume: Calculate the volume using the given values.Volume V=π×16 feet2×30 feetVolume V=π×480 feet3
Identify Value of a: Identify the value of a from the expression for the volume.The volume is given as aπ cubic feet, which means V=a⋅πfeet3.From our calculation, we have V=π⋅480feet3.Therefore, a=480.
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